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Finding the Fourth Proportional to 386.16, 532.02 and 292.68

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Solution

The fourth proportional to 386.16, 532.02 and 292.68 is: 403.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.16 : 532.02 = 292.68 : x
  2. Step 2: Convert to fraction form
    386.16/532.02 = 292.68/x
  3. Step 3: Cross multiply
    386.16x = 532.02 × 292.68
  4. Step 4: Simplify right side
    386.16x = 155,711.61
  5. Step 5: Solve for x
    x = 155,711.61/386.16
  6. Step 6: Final answer
    x = 403.23

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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.