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Finding the Fourth Proportional to 391.87, 590.10 and 289.88

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Solution

The fourth proportional to 391.87, 590.10 and 289.88 is: 436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.87 : 590.10 = 289.88 : x
  2. Step 2: Convert to fraction form
    391.87/590.10 = 289.88/x
  3. Step 3: Cross multiply
    391.87x = 590.10 × 289.88
  4. Step 4: Simplify right side
    391.87x = 171,055.24
  5. Step 5: Solve for x
    x = 171,055.24/391.87
  6. Step 6: Final answer
    x = 436.51

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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.