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Finding the Fourth Proportional to 381.26, 568.72 and 337.52

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Solution

The fourth proportional to 381.26, 568.72 and 337.52 is: 503.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.26 : 568.72 = 337.52 : x
  2. Step 2: Convert to fraction form
    381.26/568.72 = 337.52/x
  3. Step 3: Cross multiply
    381.26x = 568.72 × 337.52
  4. Step 4: Simplify right side
    381.26x = 191,954.37
  5. Step 5: Solve for x
    x = 191,954.37/381.26
  6. Step 6: Final answer
    x = 503.47

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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.