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Finding the Fourth Proportional to 549.92, 824.96 and 306.96

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Solution

The fourth proportional to 549.92, 824.96 and 306.96 is: 460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.92 : 824.96 = 306.96 : x
  2. Step 2: Convert to fraction form
    549.92/824.96 = 306.96/x
  3. Step 3: Cross multiply
    549.92x = 824.96 × 306.96
  4. Step 4: Simplify right side
    549.92x = 253,229.72
  5. Step 5: Solve for x
    x = 253,229.72/549.92
  6. Step 6: Final answer
    x = 460.48

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1.5x scale

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.