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Finding the Fourth Proportional to 400.92, 601.38 and 340.44

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Solution

The fourth proportional to 400.92, 601.38 and 340.44 is: 510.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.92 : 601.38 = 340.44 : x
  2. Step 2: Convert to fraction form
    400.92/601.38 = 340.44/x
  3. Step 3: Cross multiply
    400.92x = 601.38 × 340.44
  4. Step 4: Simplify right side
    400.92x = 204,733.81
  5. Step 5: Solve for x
    x = 204,733.81/400.92
  6. Step 6: Final answer
    x = 510.66

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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.