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Finding the Fourth Proportional to 110.50, 151.86 and 90.79

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Solution

The fourth proportional to 110.50, 151.86 and 90.79 is: 124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.50 : 151.86 = 90.79 : x
  2. Step 2: Convert to fraction form
    110.50/151.86 = 90.79/x
  3. Step 3: Cross multiply
    110.50x = 151.86 × 90.79
  4. Step 4: Simplify right side
    110.50x = 13,787.11
  5. Step 5: Solve for x
    x = 13,787.11/110.50
  6. Step 6: Final answer
    x = 124.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.