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Finding the Fourth Proportional to 147.88, 202.61 and 142.42

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Solution

The fourth proportional to 147.88, 202.61 and 142.42 is: 195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.88 : 202.61 = 142.42 : x
  2. Step 2: Convert to fraction form
    147.88/202.61 = 142.42/x
  3. Step 3: Cross multiply
    147.88x = 202.61 × 142.42
  4. Step 4: Simplify right side
    147.88x = 28,855.72
  5. Step 5: Solve for x
    x = 28,855.72/147.88
  6. Step 6: Final answer
    x = 195.13

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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.