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Finding the Fourth Proportional to 151.48, 207.48 and 142.62

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Solution

The fourth proportional to 151.48, 207.48 and 142.62 is: 195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.48 : 207.48 = 142.62 : x
  2. Step 2: Convert to fraction form
    151.48/207.48 = 142.62/x
  3. Step 3: Cross multiply
    151.48x = 207.48 × 142.62
  4. Step 4: Simplify right side
    151.48x = 29,589.05
  5. Step 5: Solve for x
    x = 29,589.05/151.48
  6. Step 6: Final answer
    x = 195.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.