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Finding the Fourth Proportional to 90.19, 134.75 and 74.85

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Solution

The fourth proportional to 90.19, 134.75 and 74.85 is: 111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.19 : 134.75 = 74.85 : x
  2. Step 2: Convert to fraction form
    90.19/134.75 = 74.85/x
  3. Step 3: Cross multiply
    90.19x = 134.75 × 74.85
  4. Step 4: Simplify right side
    90.19x = 10,085.66
  5. Step 5: Solve for x
    x = 10,085.66/90.19
  6. Step 6: Final answer
    x = 111.83

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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.