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Finding the Fourth Proportional to 385.57, 532.32 and 238.40

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Solution

The fourth proportional to 385.57, 532.32 and 238.40 is: 329.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.57 : 532.32 = 238.40 : x
  2. Step 2: Convert to fraction form
    385.57/532.32 = 238.40/x
  3. Step 3: Cross multiply
    385.57x = 532.32 × 238.40
  4. Step 4: Simplify right side
    385.57x = 126,905.09
  5. Step 5: Solve for x
    x = 126,905.09/385.57
  6. Step 6: Final answer
    x = 329.14

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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.