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Finding the Fourth Proportional to 418.34, 627.51 and 174.80

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Solution

The fourth proportional to 418.34, 627.51 and 174.80 is: 262.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.34 : 627.51 = 174.80 : x
  2. Step 2: Convert to fraction form
    418.34/627.51 = 174.80/x
  3. Step 3: Cross multiply
    418.34x = 627.51 × 174.80
  4. Step 4: Simplify right side
    418.34x = 109,685.61
  5. Step 5: Solve for x
    x = 109,685.61/418.34
  6. Step 6: Final answer
    x = 262.20

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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.