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Finding the Fourth Proportional to 399.76, 549.14 and 363.04

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Solution

The fourth proportional to 399.76, 549.14 and 363.04 is: 498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.76 : 549.14 = 363.04 : x
  2. Step 2: Convert to fraction form
    399.76/549.14 = 363.04/x
  3. Step 3: Cross multiply
    399.76x = 549.14 × 363.04
  4. Step 4: Simplify right side
    399.76x = 199,359.79
  5. Step 5: Solve for x
    x = 199,359.79/399.76
  6. Step 6: Final answer
    x = 498.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.