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Finding the Fourth Proportional to 391.67, 590.45 and 365.24

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Solution

The fourth proportional to 391.67, 590.45 and 365.24 is: 550.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.67 : 590.45 = 365.24 : x
  2. Step 2: Convert to fraction form
    391.67/590.45 = 365.24/x
  3. Step 3: Cross multiply
    391.67x = 590.45 × 365.24
  4. Step 4: Simplify right side
    391.67x = 215,655.96
  5. Step 5: Solve for x
    x = 215,655.96/391.67
  6. Step 6: Final answer
    x = 550.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.