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Finding the Fourth Proportional to 391.26, 586.41 and 247.02

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Solution

The fourth proportional to 391.26, 586.41 and 247.02 is: 370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.26 : 586.41 = 247.02 : x
  2. Step 2: Convert to fraction form
    391.26/586.41 = 247.02/x
  3. Step 3: Cross multiply
    391.26x = 586.41 × 247.02
  4. Step 4: Simplify right side
    391.26x = 144,853.76
  5. Step 5: Solve for x
    x = 144,853.76/391.26
  6. Step 6: Final answer
    x = 370.22

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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.