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Finding the Fourth Proportional to 478.06, 717.38 and 272.92

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Solution

The fourth proportional to 478.06, 717.38 and 272.92 is: 409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.06 : 717.38 = 272.92 : x
  2. Step 2: Convert to fraction form
    478.06/717.38 = 272.92/x
  3. Step 3: Cross multiply
    478.06x = 717.38 × 272.92
  4. Step 4: Simplify right side
    478.06x = 195,785.99
  5. Step 5: Solve for x
    x = 195,785.99/478.06
  6. Step 6: Final answer
    x = 409.54

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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.