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Finding the Fourth Proportional to 391.16, 590.18 and 387.92

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Solution

The fourth proportional to 391.16, 590.18 and 387.92 is: 585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.16 : 590.18 = 387.92 : x
  2. Step 2: Convert to fraction form
    391.16/590.18 = 387.92/x
  3. Step 3: Cross multiply
    391.16x = 590.18 × 387.92
  4. Step 4: Simplify right side
    391.16x = 228,942.63
  5. Step 5: Solve for x
    x = 228,942.63/391.16
  6. Step 6: Final answer
    x = 585.29

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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.