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Finding the Fourth Proportional to 288.22, 432.25 and 82.73

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Solution

The fourth proportional to 288.22, 432.25 and 82.73 is: 124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.22 : 432.25 = 82.73 : x
  2. Step 2: Convert to fraction form
    288.22/432.25 = 82.73/x
  3. Step 3: Cross multiply
    288.22x = 432.25 × 82.73
  4. Step 4: Simplify right side
    288.22x = 35,761.23
  5. Step 5: Solve for x
    x = 35,761.23/288.22
  6. Step 6: Final answer
    x = 124.08

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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.