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Finding the Fourth Proportional to 497.80, 746.76 and 151.14

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Solution

The fourth proportional to 497.80, 746.76 and 151.14 is: 226.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.80 : 746.76 = 151.14 : x
  2. Step 2: Convert to fraction form
    497.80/746.76 = 151.14/x
  3. Step 3: Cross multiply
    497.80x = 746.76 × 151.14
  4. Step 4: Simplify right side
    497.80x = 112,865.31
  5. Step 5: Solve for x
    x = 112,865.31/497.80
  6. Step 6: Final answer
    x = 226.73

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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.