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Finding the Fourth Proportional to 90.95, 135.70 and 82.35

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Solution

The fourth proportional to 90.95, 135.70 and 82.35 is: 122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.95 : 135.70 = 82.35 : x
  2. Step 2: Convert to fraction form
    90.95/135.70 = 82.35/x
  3. Step 3: Cross multiply
    90.95x = 135.70 × 82.35
  4. Step 4: Simplify right side
    90.95x = 11,174.69
  5. Step 5: Solve for x
    x = 11,174.69/90.95
  6. Step 6: Final answer
    x = 122.87

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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.