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Finding the Fourth Proportional to 66.78, 92.10 and 49.28

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Solution

The fourth proportional to 66.78, 92.10 and 49.28 is: 67.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.78 : 92.10 = 49.28 : x
  2. Step 2: Convert to fraction form
    66.78/92.10 = 49.28/x
  3. Step 3: Cross multiply
    66.78x = 92.10 × 49.28
  4. Step 4: Simplify right side
    66.78x = 4,538.44
  5. Step 5: Solve for x
    x = 4,538.44/66.78
  6. Step 6: Final answer
    x = 67.97

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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.