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Finding the Fourth Proportional to 89.97, 134.66 and 72.90

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Solution

The fourth proportional to 89.97, 134.66 and 72.90 is: 109.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.97 : 134.66 = 72.90 : x
  2. Step 2: Convert to fraction form
    89.97/134.66 = 72.90/x
  3. Step 3: Cross multiply
    89.97x = 134.66 × 72.90
  4. Step 4: Simplify right side
    89.97x = 9,816.71
  5. Step 5: Solve for x
    x = 9,816.71/89.97
  6. Step 6: Final answer
    x = 109.11

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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.