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Finding the Fourth Proportional to 66.77, 92.14 and 37.66

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Solution

The fourth proportional to 66.77, 92.14 and 37.66 is: 51.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.77 : 92.14 = 37.66 : x
  2. Step 2: Convert to fraction form
    66.77/92.14 = 37.66/x
  3. Step 3: Cross multiply
    66.77x = 92.14 × 37.66
  4. Step 4: Simplify right side
    66.77x = 3,469.76
  5. Step 5: Solve for x
    x = 3,469.76/66.77
  6. Step 6: Final answer
    x = 51.97

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Find fourth proportional to 33.38, 46.07 and 18.83
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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.