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Finding the Fourth Proportional to 399.72, 596.64 and 363.60

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Solution

The fourth proportional to 399.72, 596.64 and 363.60 is: 542.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.72 : 596.64 = 363.60 : x
  2. Step 2: Convert to fraction form
    399.72/596.64 = 363.60/x
  3. Step 3: Cross multiply
    399.72x = 596.64 × 363.60
  4. Step 4: Simplify right side
    399.72x = 216,938.30
  5. Step 5: Solve for x
    x = 216,938.30/399.72
  6. Step 6: Final answer
    x = 542.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.