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Finding the Fourth Proportional to 90.72, 136.20 and 77.28

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Solution

The fourth proportional to 90.72, 136.20 and 77.28 is: 116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.72 : 136.20 = 77.28 : x
  2. Step 2: Convert to fraction form
    90.72/136.20 = 77.28/x
  3. Step 3: Cross multiply
    90.72x = 136.20 × 77.28
  4. Step 4: Simplify right side
    90.72x = 10,525.54
  5. Step 5: Solve for x
    x = 10,525.54/90.72
  6. Step 6: Final answer
    x = 116.02

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