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Finding the Fourth Proportional to 431.19, 595.08 and 298.67

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Solution

The fourth proportional to 431.19, 595.08 and 298.67 is: 412.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.19 : 595.08 = 298.67 : x
  2. Step 2: Convert to fraction form
    431.19/595.08 = 298.67/x
  3. Step 3: Cross multiply
    431.19x = 595.08 × 298.67
  4. Step 4: Simplify right side
    431.19x = 177,729.57
  5. Step 5: Solve for x
    x = 177,729.57/431.19
  6. Step 6: Final answer
    x = 412.18

Related Problems

Find fourth proportional to 215.60, 297.54 and 149.33
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.