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Finding the Fourth Proportional to 430.68, 594.34 and 234.19

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Solution

The fourth proportional to 430.68, 594.34 and 234.19 is: 323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.68 : 594.34 = 234.19 : x
  2. Step 2: Convert to fraction form
    430.68/594.34 = 234.19/x
  3. Step 3: Cross multiply
    430.68x = 594.34 × 234.19
  4. Step 4: Simplify right side
    430.68x = 139,188.48
  5. Step 5: Solve for x
    x = 139,188.48/430.68
  6. Step 6: Final answer
    x = 323.18

Related Problems

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Double scale
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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.