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Finding the Fourth Proportional to 418, 627.04 and 171.28

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Solution

The fourth proportional to 418, 627.04 and 171.28 is: 256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    418 : 627.04 = 171.28 : x
  2. Step 2: Convert to fraction form
    418/627.04 = 171.28/x
  3. Step 3: Cross multiply
    418x = 627.04 × 171.28
  4. Step 4: Simplify right side
    418x = 107,399.41
  5. Step 5: Solve for x
    x = 107,399.41/418
  6. Step 6: Final answer
    x = 256.94

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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.