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Finding the Fourth Proportional to 143.38, 213.85 and 135.46

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Solution

The fourth proportional to 143.38, 213.85 and 135.46 is: 202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.38 : 213.85 = 135.46 : x
  2. Step 2: Convert to fraction form
    143.38/213.85 = 135.46/x
  3. Step 3: Cross multiply
    143.38x = 213.85 × 135.46
  4. Step 4: Simplify right side
    143.38x = 28,968.12
  5. Step 5: Solve for x
    x = 28,968.12/143.38
  6. Step 6: Final answer
    x = 202.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.