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Finding the Fourth Proportional to 385.60, 532.32 and 269.60

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Solution

The fourth proportional to 385.60, 532.32 and 269.60 is: 372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.60 : 532.32 = 269.60 : x
  2. Step 2: Convert to fraction form
    385.60/532.32 = 269.60/x
  3. Step 3: Cross multiply
    385.60x = 532.32 × 269.60
  4. Step 4: Simplify right side
    385.60x = 143,513.47
  5. Step 5: Solve for x
    x = 143,513.47/385.60
  6. Step 6: Final answer
    x = 372.18

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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.