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Finding the Fourth Proportional to 155.46, 214.48 and 147.76

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Solution

The fourth proportional to 155.46, 214.48 and 147.76 is: 203.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.46 : 214.48 = 147.76 : x
  2. Step 2: Convert to fraction form
    155.46/214.48 = 147.76/x
  3. Step 3: Cross multiply
    155.46x = 214.48 × 147.76
  4. Step 4: Simplify right side
    155.46x = 31,691.56
  5. Step 5: Solve for x
    x = 31,691.56/155.46
  6. Step 6: Final answer
    x = 203.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.