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Finding the Fourth Proportional to 337.44, 503.64 and 289.44

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Solution

The fourth proportional to 337.44, 503.64 and 289.44 is: 432.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.44 : 503.64 = 289.44 : x
  2. Step 2: Convert to fraction form
    337.44/503.64 = 289.44/x
  3. Step 3: Cross multiply
    337.44x = 503.64 × 289.44
  4. Step 4: Simplify right side
    337.44x = 145,773.56
  5. Step 5: Solve for x
    x = 145,773.56/337.44
  6. Step 6: Final answer
    x = 432.00

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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.