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Finding the Fourth Proportional to 62.28, 93.46 and 47.78

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Solution

The fourth proportional to 62.28, 93.46 and 47.78 is: 71.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.28 : 93.46 = 47.78 : x
  2. Step 2: Convert to fraction form
    62.28/93.46 = 47.78/x
  3. Step 3: Cross multiply
    62.28x = 93.46 × 47.78
  4. Step 4: Simplify right side
    62.28x = 4,465.52
  5. Step 5: Solve for x
    x = 4,465.52/62.28
  6. Step 6: Final answer
    x = 71.70

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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.