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Finding the Fourth Proportional to 90.77, 135.32 and 89.24

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Solution

The fourth proportional to 90.77, 135.32 and 89.24 is: 133.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.77 : 135.32 = 89.24 : x
  2. Step 2: Convert to fraction form
    90.77/135.32 = 89.24/x
  3. Step 3: Cross multiply
    90.77x = 135.32 × 89.24
  4. Step 4: Simplify right side
    90.77x = 12,074.83
  5. Step 5: Solve for x
    x = 12,074.83/90.77
  6. Step 6: Final answer
    x = 133.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.