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Finding the Fourth Proportional to 406.78, 562.22 and 341.17

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Solution

The fourth proportional to 406.78, 562.22 and 341.17 is: 471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.78 : 562.22 = 341.17 : x
  2. Step 2: Convert to fraction form
    406.78/562.22 = 341.17/x
  3. Step 3: Cross multiply
    406.78x = 562.22 × 341.17
  4. Step 4: Simplify right side
    406.78x = 191,812.60
  5. Step 5: Solve for x
    x = 191,812.60/406.78
  6. Step 6: Final answer
    x = 471.54

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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.