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Finding the Fourth Proportional to 142.58, 212.43 and 135.70

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Solution

The fourth proportional to 142.58, 212.43 and 135.70 is: 202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.58 : 212.43 = 135.70 : x
  2. Step 2: Convert to fraction form
    142.58/212.43 = 135.70/x
  3. Step 3: Cross multiply
    142.58x = 212.43 × 135.70
  4. Step 4: Simplify right side
    142.58x = 28,826.75
  5. Step 5: Solve for x
    x = 28,826.75/142.58
  6. Step 6: Final answer
    x = 202.18

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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.