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Finding the Fourth Proportional to 391.14, 585.91 and 185.08

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Solution

The fourth proportional to 391.14, 585.91 and 185.08 is: 277.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.14 : 585.91 = 185.08 : x
  2. Step 2: Convert to fraction form
    391.14/585.91 = 185.08/x
  3. Step 3: Cross multiply
    391.14x = 585.91 × 185.08
  4. Step 4: Simplify right side
    391.14x = 108,439.53
  5. Step 5: Solve for x
    x = 108,439.53/391.14
  6. Step 6: Final answer
    x = 277.24

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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.