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Finding the Fourth Proportional to 385.12, 532.20 and 292.15

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Solution

The fourth proportional to 385.12, 532.20 and 292.15 is: 403.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.12 : 532.20 = 292.15 : x
  2. Step 2: Convert to fraction form
    385.12/532.20 = 292.15/x
  3. Step 3: Cross multiply
    385.12x = 532.20 × 292.15
  4. Step 4: Simplify right side
    385.12x = 155,482.23
  5. Step 5: Solve for x
    x = 155,482.23/385.12
  6. Step 6: Final answer
    x = 403.72

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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.