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Finding the Fourth Proportional to 311.03, 465.92 and 256.95

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Solution

The fourth proportional to 311.03, 465.92 and 256.95 is: 384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.03 : 465.92 = 256.95 : x
  2. Step 2: Convert to fraction form
    311.03/465.92 = 256.95/x
  3. Step 3: Cross multiply
    311.03x = 465.92 × 256.95
  4. Step 4: Simplify right side
    311.03x = 119,716.86
  5. Step 5: Solve for x
    x = 119,716.86/311.03
  6. Step 6: Final answer
    x = 384.91

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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.