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Finding the Fourth Proportional to 42.40, 60.22 and 42.40

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Solution

The fourth proportional to 42.40, 60.22 and 42.40 is: 60.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.40 : 60.22 = 42.40 : x
  2. Step 2: Convert to fraction form
    42.40/60.22 = 42.40/x
  3. Step 3: Cross multiply
    42.40x = 60.22 × 42.40
  4. Step 4: Simplify right side
    42.40x = 2,553.33
  5. Step 5: Solve for x
    x = 2,553.33/42.40
  6. Step 6: Final answer
    x = 60.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.