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Finding the Fourth Proportional to 400.58, 600.17 and 342.21

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Solution

The fourth proportional to 400.58, 600.17 and 342.21 is: 512.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.58 : 600.17 = 342.21 : x
  2. Step 2: Convert to fraction form
    400.58/600.17 = 342.21/x
  3. Step 3: Cross multiply
    400.58x = 600.17 × 342.21
  4. Step 4: Simplify right side
    400.58x = 205,382.46
  5. Step 5: Solve for x
    x = 205,382.46/400.58
  6. Step 6: Final answer
    x = 512.71

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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.