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Finding the Fourth Proportional to 391.19, 586.10 and 348.81

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Solution

The fourth proportional to 391.19, 586.10 and 348.81 is: 522.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.19 : 586.10 = 348.81 : x
  2. Step 2: Convert to fraction form
    391.19/586.10 = 348.81/x
  3. Step 3: Cross multiply
    391.19x = 586.10 × 348.81
  4. Step 4: Simplify right side
    391.19x = 204,435.80
  5. Step 5: Solve for x
    x = 204,435.80/391.19
  6. Step 6: Final answer
    x = 522.61

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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.