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Finding the Fourth Proportional to 348.26, 521.45 and 287.66

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Solution

The fourth proportional to 348.26, 521.45 and 287.66 is: 430.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.26 : 521.45 = 287.66 : x
  2. Step 2: Convert to fraction form
    348.26/521.45 = 287.66/x
  3. Step 3: Cross multiply
    348.26x = 521.45 × 287.66
  4. Step 4: Simplify right side
    348.26x = 150,000.31
  5. Step 5: Solve for x
    x = 150,000.31/348.26
  6. Step 6: Final answer
    x = 430.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.