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Finding the Fourth Proportional to 100.49, 137.78 and 93.38

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Solution

The fourth proportional to 100.49, 137.78 and 93.38 is: 128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.49 : 137.78 = 93.38 : x
  2. Step 2: Convert to fraction form
    100.49/137.78 = 93.38/x
  3. Step 3: Cross multiply
    100.49x = 137.78 × 93.38
  4. Step 4: Simplify right side
    100.49x = 12,865.90
  5. Step 5: Solve for x
    x = 12,865.90/100.49
  6. Step 6: Final answer
    x = 128.03

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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.