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Finding the Fourth Proportional to 418.86, 627.45 and 274.14

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Solution

The fourth proportional to 418.86, 627.45 and 274.14 is: 410.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.86 : 627.45 = 274.14 : x
  2. Step 2: Convert to fraction form
    418.86/627.45 = 274.14/x
  3. Step 3: Cross multiply
    418.86x = 627.45 × 274.14
  4. Step 4: Simplify right side
    418.86x = 172,009.14
  5. Step 5: Solve for x
    x = 172,009.14/418.86
  6. Step 6: Final answer
    x = 410.66

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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.