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Finding the Fourth Proportional to 66.85, 100.25 and 26.25

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Solution

The fourth proportional to 66.85, 100.25 and 26.25 is: 39.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.85 : 100.25 = 26.25 : x
  2. Step 2: Convert to fraction form
    66.85/100.25 = 26.25/x
  3. Step 3: Cross multiply
    66.85x = 100.25 × 26.25
  4. Step 4: Simplify right side
    66.85x = 2,631.43
  5. Step 5: Solve for x
    x = 2,631.43/66.85
  6. Step 6: Final answer
    x = 39.36

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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.