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Finding the Fourth Proportional to 391.16, 582.12 and 376.58

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Solution

The fourth proportional to 391.16, 582.12 and 376.58 is: 560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.16 : 582.12 = 376.58 : x
  2. Step 2: Convert to fraction form
    391.16/582.12 = 376.58/x
  3. Step 3: Cross multiply
    391.16x = 582.12 × 376.58
  4. Step 4: Simplify right side
    391.16x = 219,216.20
  5. Step 5: Solve for x
    x = 219,216.20/391.16
  6. Step 6: Final answer
    x = 560.42

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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.