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Finding the Fourth Proportional to 391.08, 582.86 and 371.64

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Solution

The fourth proportional to 391.08, 582.86 and 371.64 is: 553.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.08 : 582.86 = 371.64 : x
  2. Step 2: Convert to fraction form
    391.08/582.86 = 371.64/x
  3. Step 3: Cross multiply
    391.08x = 582.86 × 371.64
  4. Step 4: Simplify right side
    391.08x = 216,612.23
  5. Step 5: Solve for x
    x = 216,612.23/391.08
  6. Step 6: Final answer
    x = 553.88

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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.