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Finding the Fourth Proportional to 337.84, 503.68 and 311.92

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Solution

The fourth proportional to 337.84, 503.68 and 311.92 is: 465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.84 : 503.68 = 311.92 : x
  2. Step 2: Convert to fraction form
    337.84/503.68 = 311.92/x
  3. Step 3: Cross multiply
    337.84x = 503.68 × 311.92
  4. Step 4: Simplify right side
    337.84x = 157,107.87
  5. Step 5: Solve for x
    x = 157,107.87/337.84
  6. Step 6: Final answer
    x = 465.04

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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.