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Finding the Fourth Proportional to 147.42, 202.04 and 142.38

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Solution

The fourth proportional to 147.42, 202.04 and 142.38 is: 195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.42 : 202.04 = 142.38 : x
  2. Step 2: Convert to fraction form
    147.42/202.04 = 142.38/x
  3. Step 3: Cross multiply
    147.42x = 202.04 × 142.38
  4. Step 4: Simplify right side
    147.42x = 28,765.74
  5. Step 5: Solve for x
    x = 28,765.74/147.42
  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.