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Finding the Fourth Proportional to 391.42, 585.98 and 365.77

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Solution

The fourth proportional to 391.42, 585.98 and 365.77 is: 547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.42 : 585.98 = 365.77 : x
  2. Step 2: Convert to fraction form
    391.42/585.98 = 365.77/x
  3. Step 3: Cross multiply
    391.42x = 585.98 × 365.77
  4. Step 4: Simplify right side
    391.42x = 214,333.90
  5. Step 5: Solve for x
    x = 214,333.90/391.42
  6. Step 6: Final answer
    x = 547.58

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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.