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Finding the Fourth Proportional to 348.76, 521.24 and 275.86

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Solution

The fourth proportional to 348.76, 521.24 and 275.86 is: 412.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.76 : 521.24 = 275.86 : x
  2. Step 2: Convert to fraction form
    348.76/521.24 = 275.86/x
  3. Step 3: Cross multiply
    348.76x = 521.24 × 275.86
  4. Step 4: Simplify right side
    348.76x = 143,789.27
  5. Step 5: Solve for x
    x = 143,789.27/348.76
  6. Step 6: Final answer
    x = 412.29

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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.