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Finding the Fourth Proportional to 142.20, 212.74 and 133.70

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Solution

The fourth proportional to 142.20, 212.74 and 133.70 is: 200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.20 : 212.74 = 133.70 : x
  2. Step 2: Convert to fraction form
    142.20/212.74 = 133.70/x
  3. Step 3: Cross multiply
    142.20x = 212.74 × 133.70
  4. Step 4: Simplify right side
    142.20x = 28,443.34
  5. Step 5: Solve for x
    x = 28,443.34/142.20
  6. Step 6: Final answer
    x = 200.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.