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Finding the Fourth Proportional to 391.85, 588.89 and 365.55

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Solution

The fourth proportional to 391.85, 588.89 and 365.55 is: 549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.85 : 588.89 = 365.55 : x
  2. Step 2: Convert to fraction form
    391.85/588.89 = 365.55/x
  3. Step 3: Cross multiply
    391.85x = 588.89 × 365.55
  4. Step 4: Simplify right side
    391.85x = 215,268.74
  5. Step 5: Solve for x
    x = 215,268.74/391.85
  6. Step 6: Final answer
    x = 549.37

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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.