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Finding the Fourth Proportional to 256.06, 383.91 and 132.70

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Solution

The fourth proportional to 256.06, 383.91 and 132.70 is: 198.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256.06 : 383.91 = 132.70 : x
  2. Step 2: Convert to fraction form
    256.06/383.91 = 132.70/x
  3. Step 3: Cross multiply
    256.06x = 383.91 × 132.70
  4. Step 4: Simplify right side
    256.06x = 50,944.86
  5. Step 5: Solve for x
    x = 50,944.86/256.06
  6. Step 6: Final answer
    x = 198.96

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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.