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Finding the Fourth Proportional to 391.46, 586.68 and 208.58

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Solution

The fourth proportional to 391.46, 586.68 and 208.58 is: 312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.46 : 586.68 = 208.58 : x
  2. Step 2: Convert to fraction form
    391.46/586.68 = 208.58/x
  3. Step 3: Cross multiply
    391.46x = 586.68 × 208.58
  4. Step 4: Simplify right side
    391.46x = 122,369.71
  5. Step 5: Solve for x
    x = 122,369.71/391.46
  6. Step 6: Final answer
    x = 312.60

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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.