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Finding the Fourth Proportional to 497.98, 747.23 and 238.27

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Solution

The fourth proportional to 497.98, 747.23 and 238.27 is: 357.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.98 : 747.23 = 238.27 : x
  2. Step 2: Convert to fraction form
    497.98/747.23 = 238.27/x
  3. Step 3: Cross multiply
    497.98x = 747.23 × 238.27
  4. Step 4: Simplify right side
    497.98x = 178,042.49
  5. Step 5: Solve for x
    x = 178,042.49/497.98
  6. Step 6: Final answer
    x = 357.53

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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.