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Finding the Fourth Proportional to 478.54, 717.81 and 131.86

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Solution

The fourth proportional to 478.54, 717.81 and 131.86 is: 197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.54 : 717.81 = 131.86 : x
  2. Step 2: Convert to fraction form
    478.54/717.81 = 131.86/x
  3. Step 3: Cross multiply
    478.54x = 717.81 × 131.86
  4. Step 4: Simplify right side
    478.54x = 94,650.43
  5. Step 5: Solve for x
    x = 94,650.43/478.54
  6. Step 6: Final answer
    x = 197.79

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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.