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Finding the Fourth Proportional to 391.54, 586.56 and 228.70

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Solution

The fourth proportional to 391.54, 586.56 and 228.70 is: 342.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.54 : 586.56 = 228.70 : x
  2. Step 2: Convert to fraction form
    391.54/586.56 = 228.70/x
  3. Step 3: Cross multiply
    391.54x = 586.56 × 228.70
  4. Step 4: Simplify right side
    391.54x = 134,146.27
  5. Step 5: Solve for x
    x = 134,146.27/391.54
  6. Step 6: Final answer
    x = 342.61

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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.