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Finding the Fourth Proportional to 497.92, 747.30 and 190.08

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Solution

The fourth proportional to 497.92, 747.30 and 190.08 is: 285.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.92 : 747.30 = 190.08 : x
  2. Step 2: Convert to fraction form
    497.92/747.30 = 190.08/x
  3. Step 3: Cross multiply
    497.92x = 747.30 × 190.08
  4. Step 4: Simplify right side
    497.92x = 142,046.78
  5. Step 5: Solve for x
    x = 142,046.78/497.92
  6. Step 6: Final answer
    x = 285.28

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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.