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Finding the Fourth Proportional to 332.80, 499.20 and 211.15

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Solution

The fourth proportional to 332.80, 499.20 and 211.15 is: 316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.80 : 499.20 = 211.15 : x
  2. Step 2: Convert to fraction form
    332.80/499.20 = 211.15/x
  3. Step 3: Cross multiply
    332.80x = 499.20 × 211.15
  4. Step 4: Simplify right side
    332.80x = 105,403.58
  5. Step 5: Solve for x
    x = 105,403.58/332.80
  6. Step 6: Final answer
    x = 316.72

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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.