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Finding the Fourth Proportional to 338.70, 461.13 and 337.65

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Solution

The fourth proportional to 338.70, 461.13 and 337.65 is: 459.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.70 : 461.13 = 337.65 : x
  2. Step 2: Convert to fraction form
    338.70/461.13 = 337.65/x
  3. Step 3: Cross multiply
    338.70x = 461.13 × 337.65
  4. Step 4: Simplify right side
    338.70x = 155,700.54
  5. Step 5: Solve for x
    x = 155,700.54/338.70
  6. Step 6: Final answer
    x = 459.70

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.