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Finding the Fourth Proportional to 118.50, 178.08 and 91.77

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Solution

The fourth proportional to 118.50, 178.08 and 91.77 is: 137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.50 : 178.08 = 91.77 : x
  2. Step 2: Convert to fraction form
    118.50/178.08 = 91.77/x
  3. Step 3: Cross multiply
    118.50x = 178.08 × 91.77
  4. Step 4: Simplify right side
    118.50x = 16,342.40
  5. Step 5: Solve for x
    x = 16,342.40/118.50
  6. Step 6: Final answer
    x = 137.91

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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.