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Finding the Fourth Proportional to 478.12, 659.78 and 271.12

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Solution

The fourth proportional to 478.12, 659.78 and 271.12 is: 374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.12 : 659.78 = 271.12 : x
  2. Step 2: Convert to fraction form
    478.12/659.78 = 271.12/x
  3. Step 3: Cross multiply
    478.12x = 659.78 × 271.12
  4. Step 4: Simplify right side
    478.12x = 178,876.25
  5. Step 5: Solve for x
    x = 178,876.25/478.12
  6. Step 6: Final answer
    x = 374.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.