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Finding the Fourth Proportional to 142.62, 212.77 and 136.10

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Solution

The fourth proportional to 142.62, 212.77 and 136.10 is: 203.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.62 : 212.77 = 136.10 : x
  2. Step 2: Convert to fraction form
    142.62/212.77 = 136.10/x
  3. Step 3: Cross multiply
    142.62x = 212.77 × 136.10
  4. Step 4: Simplify right side
    142.62x = 28,958.00
  5. Step 5: Solve for x
    x = 28,958.00/142.62
  6. Step 6: Final answer
    x = 203.04

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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.