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Finding the Fourth Proportional to 391.88, 584.95 and 346.28

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Solution

The fourth proportional to 391.88, 584.95 and 346.28 is: 516.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.88 : 584.95 = 346.28 : x
  2. Step 2: Convert to fraction form
    391.88/584.95 = 346.28/x
  3. Step 3: Cross multiply
    391.88x = 584.95 × 346.28
  4. Step 4: Simplify right side
    391.88x = 202,552.37
  5. Step 5: Solve for x
    x = 202,552.37/391.88
  6. Step 6: Final answer
    x = 516.88

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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.