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Finding the Fourth Proportional to 330.92, 497.40 and 209.96

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Solution

The fourth proportional to 330.92, 497.40 and 209.96 is: 315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.92 : 497.40 = 209.96 : x
  2. Step 2: Convert to fraction form
    330.92/497.40 = 209.96/x
  3. Step 3: Cross multiply
    330.92x = 497.40 × 209.96
  4. Step 4: Simplify right side
    330.92x = 104,434.10
  5. Step 5: Solve for x
    x = 104,434.10/330.92
  6. Step 6: Final answer
    x = 315.59

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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.