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Finding the Fourth Proportional to 399.24, 596.02 and 337.72

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Solution

The fourth proportional to 399.24, 596.02 and 337.72 is: 504.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.24 : 596.02 = 337.72 : x
  2. Step 2: Convert to fraction form
    399.24/596.02 = 337.72/x
  3. Step 3: Cross multiply
    399.24x = 596.02 × 337.72
  4. Step 4: Simplify right side
    399.24x = 201,286.81
  5. Step 5: Solve for x
    x = 201,286.81/399.24
  6. Step 6: Final answer
    x = 504.17

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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.