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Finding the Fourth Proportional to 66.88, 92.20 and 42.31

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Solution

The fourth proportional to 66.88, 92.20 and 42.31 is: 58.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.88 : 92.20 = 42.31 : x
  2. Step 2: Convert to fraction form
    66.88/92.20 = 42.31/x
  3. Step 3: Cross multiply
    66.88x = 92.20 × 42.31
  4. Step 4: Simplify right side
    66.88x = 3,900.98
  5. Step 5: Solve for x
    x = 3,900.98/66.88
  6. Step 6: Final answer
    x = 58.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.