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Finding the Fourth Proportional to 478, 659.68 and 271.04

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Solution

The fourth proportional to 478, 659.68 and 271.04 is: 374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    478 : 659.68 = 271.04 : x
  2. Step 2: Convert to fraction form
    478/659.68 = 271.04/x
  3. Step 3: Cross multiply
    478x = 659.68 × 271.04
  4. Step 4: Simplify right side
    478x = 178,799.67
  5. Step 5: Solve for x
    x = 178,799.67/478
  6. Step 6: Final answer
    x = 374.06

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