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Finding the Fourth Proportional to 89.97, 134.78 and 59.46

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Solution

The fourth proportional to 89.97, 134.78 and 59.46 is: 89.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.97 : 134.78 = 59.46 : x
  2. Step 2: Convert to fraction form
    89.97/134.78 = 59.46/x
  3. Step 3: Cross multiply
    89.97x = 134.78 × 59.46
  4. Step 4: Simplify right side
    89.97x = 8,013.72
  5. Step 5: Solve for x
    x = 8,013.72/89.97
  6. Step 6: Final answer
    x = 89.07

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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.