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Finding the Fourth Proportional to 498.21, 747.09 and 292.83

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Solution

The fourth proportional to 498.21, 747.09 and 292.83 is: 439.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.21 : 747.09 = 292.83 : x
  2. Step 2: Convert to fraction form
    498.21/747.09 = 292.83/x
  3. Step 3: Cross multiply
    498.21x = 747.09 × 292.83
  4. Step 4: Simplify right side
    498.21x = 218,770.36
  5. Step 5: Solve for x
    x = 218,770.36/498.21
  6. Step 6: Final answer
    x = 439.11

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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.