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Finding the Fourth Proportional to 142.76, 214.14 and 34.55

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Solution

The fourth proportional to 142.76, 214.14 and 34.55 is: 51.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.76 : 214.14 = 34.55 : x
  2. Step 2: Convert to fraction form
    142.76/214.14 = 34.55/x
  3. Step 3: Cross multiply
    142.76x = 214.14 × 34.55
  4. Step 4: Simplify right side
    142.76x = 7,398.14
  5. Step 5: Solve for x
    x = 7,398.14/142.76
  6. Step 6: Final answer
    x = 51.82

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Why These Related Problems?

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