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Finding the Fourth Proportional to 345.81, 475.82 and 337.61

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Solution

The fourth proportional to 345.81, 475.82 and 337.61 is: 464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.81 : 475.82 = 337.61 : x
  2. Step 2: Convert to fraction form
    345.81/475.82 = 337.61/x
  3. Step 3: Cross multiply
    345.81x = 475.82 × 337.61
  4. Step 4: Simplify right side
    345.81x = 160,641.59
  5. Step 5: Solve for x
    x = 160,641.59/345.81
  6. Step 6: Final answer
    x = 464.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.