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Finding the Fourth Proportional to 288.47, 432.57 and 115.13

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Solution

The fourth proportional to 288.47, 432.57 and 115.13 is: 172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.47 : 432.57 = 115.13 : x
  2. Step 2: Convert to fraction form
    288.47/432.57 = 115.13/x
  3. Step 3: Cross multiply
    288.47x = 432.57 × 115.13
  4. Step 4: Simplify right side
    288.47x = 49,801.78
  5. Step 5: Solve for x
    x = 49,801.78/288.47
  6. Step 6: Final answer
    x = 172.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.