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Finding the Fourth Proportional to 417.76, 627.14 and 341.21

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Solution

The fourth proportional to 417.76, 627.14 and 341.21 is: 512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.76 : 627.14 = 341.21 : x
  2. Step 2: Convert to fraction form
    417.76/627.14 = 341.21/x
  3. Step 3: Cross multiply
    417.76x = 627.14 × 341.21
  4. Step 4: Simplify right side
    417.76x = 213,988.86
  5. Step 5: Solve for x
    x = 213,988.86/417.76
  6. Step 6: Final answer
    x = 512.23

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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.