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Finding the Fourth Proportional to 142.71, 212.61 and 135.83

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Solution

The fourth proportional to 142.71, 212.61 and 135.83 is: 202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.71 : 212.61 = 135.83 : x
  2. Step 2: Convert to fraction form
    142.71/212.61 = 135.83/x
  3. Step 3: Cross multiply
    142.71x = 212.61 × 135.83
  4. Step 4: Simplify right side
    142.71x = 28,877.75
  5. Step 5: Solve for x
    x = 28,877.75/142.71
  6. Step 6: Final answer
    x = 202.35

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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.