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Finding the Fourth Proportional to 391.12, 586.48 and 208.47

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Solution

The fourth proportional to 391.12, 586.48 and 208.47 is: 312.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.12 : 586.48 = 208.47 : x
  2. Step 2: Convert to fraction form
    391.12/586.48 = 208.47/x
  3. Step 3: Cross multiply
    391.12x = 586.48 × 208.47
  4. Step 4: Simplify right side
    391.12x = 122,263.49
  5. Step 5: Solve for x
    x = 122,263.49/391.12
  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.