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Finding the Fourth Proportional to 498.96, 688.23 and 321.98

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Solution

The fourth proportional to 498.96, 688.23 and 321.98 is: 444.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.96 : 688.23 = 321.98 : x
  2. Step 2: Convert to fraction form
    498.96/688.23 = 321.98/x
  3. Step 3: Cross multiply
    498.96x = 688.23 × 321.98
  4. Step 4: Simplify right side
    498.96x = 221,592.85
  5. Step 5: Solve for x
    x = 221,592.85/498.96
  6. Step 6: Final answer
    x = 444.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.