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Finding the Fourth Proportional to 66.97, 100.49 and 56.78

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Solution

The fourth proportional to 66.97, 100.49 and 56.78 is: 85.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.97 : 100.49 = 56.78 : x
  2. Step 2: Convert to fraction form
    66.97/100.49 = 56.78/x
  3. Step 3: Cross multiply
    66.97x = 100.49 × 56.78
  4. Step 4: Simplify right side
    66.97x = 5,705.04
  5. Step 5: Solve for x
    x = 5,705.04/66.97
  6. Step 6: Final answer
    x = 85.19

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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.