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Finding the Fourth Proportional to 288.61, 398.17 and 172.15

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Solution

The fourth proportional to 288.61, 398.17 and 172.15 is: 237.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.61 : 398.17 = 172.15 : x
  2. Step 2: Convert to fraction form
    288.61/398.17 = 172.15/x
  3. Step 3: Cross multiply
    288.61x = 398.17 × 172.15
  4. Step 4: Simplify right side
    288.61x = 68,544.97
  5. Step 5: Solve for x
    x = 68,544.97/288.61
  6. Step 6: Final answer
    x = 237.50

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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.