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Finding the Fourth Proportional to 391, 537.17 and 328.72

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Solution

The fourth proportional to 391, 537.17 and 328.72 is: 451.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    391 : 537.17 = 328.72 : x
  2. Step 2: Convert to fraction form
    391/537.17 = 328.72/x
  3. Step 3: Cross multiply
    391x = 537.17 × 328.72
  4. Step 4: Simplify right side
    391x = 176,578.52
  5. Step 5: Solve for x
    x = 176,578.52/391
  6. Step 6: Final answer
    x = 451.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.