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Finding the Fourth Proportional to 89.18, 133.40 and 74.76

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Solution

The fourth proportional to 89.18, 133.40 and 74.76 is: 111.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.18 : 133.40 = 74.76 : x
  2. Step 2: Convert to fraction form
    89.18/133.40 = 74.76/x
  3. Step 3: Cross multiply
    89.18x = 133.40 × 74.76
  4. Step 4: Simplify right side
    89.18x = 9,973.17
  5. Step 5: Solve for x
    x = 9,973.17/89.18
  6. Step 6: Final answer
    x = 111.84

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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.