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Finding the Fourth Proportional to 337.40, 503.26 and 327.15

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Solution

The fourth proportional to 337.40, 503.26 and 327.15 is: 487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.40 : 503.26 = 327.15 : x
  2. Step 2: Convert to fraction form
    337.40/503.26 = 327.15/x
  3. Step 3: Cross multiply
    337.40x = 503.26 × 327.15
  4. Step 4: Simplify right side
    337.40x = 164,640.69
  5. Step 5: Solve for x
    x = 164,640.69/337.40
  6. Step 6: Final answer
    x = 487.98

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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.