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Finding the Fourth Proportional to 74.18, 102.22 and 66.79

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Solution

The fourth proportional to 74.18, 102.22 and 66.79 is: 92.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.18 : 102.22 = 66.79 : x
  2. Step 2: Convert to fraction form
    74.18/102.22 = 66.79/x
  3. Step 3: Cross multiply
    74.18x = 102.22 × 66.79
  4. Step 4: Simplify right side
    74.18x = 6,827.80
  5. Step 5: Solve for x
    x = 6,827.80/74.18
  6. Step 6: Final answer
    x = 92.04

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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.