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Finding the Fourth Proportional to 493.90, 740.67 and 147.13

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Solution

The fourth proportional to 493.90, 740.67 and 147.13 is: 220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.90 : 740.67 = 147.13 : x
  2. Step 2: Convert to fraction form
    493.90/740.67 = 147.13/x
  3. Step 3: Cross multiply
    493.90x = 740.67 × 147.13
  4. Step 4: Simplify right side
    493.90x = 108,974.78
  5. Step 5: Solve for x
    x = 108,974.78/493.90
  6. Step 6: Final answer
    x = 220.64

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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.