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Finding the Fourth Proportional to 74.60, 102.90 and 60.08

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Solution

The fourth proportional to 74.60, 102.90 and 60.08 is: 82.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.60 : 102.90 = 60.08 : x
  2. Step 2: Convert to fraction form
    74.60/102.90 = 60.08/x
  3. Step 3: Cross multiply
    74.60x = 102.90 × 60.08
  4. Step 4: Simplify right side
    74.60x = 6,182.23
  5. Step 5: Solve for x
    x = 6,182.23/74.60
  6. Step 6: Final answer
    x = 82.87

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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.