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Finding the Fourth Proportional to 348.21, 521.39 and 287.61

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Solution

The fourth proportional to 348.21, 521.39 and 287.61 is: 430.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.21 : 521.39 = 287.61 : x
  2. Step 2: Convert to fraction form
    348.21/521.39 = 287.61/x
  3. Step 3: Cross multiply
    348.21x = 521.39 × 287.61
  4. Step 4: Simplify right side
    348.21x = 149,956.98
  5. Step 5: Solve for x
    x = 149,956.98/348.21
  6. Step 6: Final answer
    x = 430.65

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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.