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Finding the Fourth Proportional to 298.69, 412.23 and 182.19

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Solution

The fourth proportional to 298.69, 412.23 and 182.19 is: 251.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.69 : 412.23 = 182.19 : x
  2. Step 2: Convert to fraction form
    298.69/412.23 = 182.19/x
  3. Step 3: Cross multiply
    298.69x = 412.23 × 182.19
  4. Step 4: Simplify right side
    298.69x = 75,104.18
  5. Step 5: Solve for x
    x = 75,104.18/298.69
  6. Step 6: Final answer
    x = 251.45

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.