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Finding the Fourth Proportional to 386.71, 532.69 and 288.30

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Solution

The fourth proportional to 386.71, 532.69 and 288.30 is: 397.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.71 : 532.69 = 288.30 : x
  2. Step 2: Convert to fraction form
    386.71/532.69 = 288.30/x
  3. Step 3: Cross multiply
    386.71x = 532.69 × 288.30
  4. Step 4: Simplify right side
    386.71x = 153,574.53
  5. Step 5: Solve for x
    x = 153,574.53/386.71
  6. Step 6: Final answer
    x = 397.13

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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.