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Finding the Fourth Proportional to 478.04, 659.62 and 271

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Solution

The fourth proportional to 478.04, 659.62 and 271 is: 373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.04 : 659.62 = 271 : x
  2. Step 2: Convert to fraction form
    478.04/659.62 = 271/x
  3. Step 3: Cross multiply
    478.04x = 659.62 × 271
  4. Step 4: Simplify right side
    478.04x = 178,757.02
  5. Step 5: Solve for x
    x = 178,757.02/478.04
  6. Step 6: Final answer
    x = 373.94

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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.