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Finding the Fourth Proportional to 363.96, 549.24 and 351.72

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Solution

The fourth proportional to 363.96, 549.24 and 351.72 is: 530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.96 : 549.24 = 351.72 : x
  2. Step 2: Convert to fraction form
    363.96/549.24 = 351.72/x
  3. Step 3: Cross multiply
    363.96x = 549.24 × 351.72
  4. Step 4: Simplify right side
    363.96x = 193,178.69
  5. Step 5: Solve for x
    x = 193,178.69/363.96
  6. Step 6: Final answer
    x = 530.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.