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Finding the Fourth Proportional to 400.10, 552.10 and 370.71

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Solution

The fourth proportional to 400.10, 552.10 and 370.71 is: 511.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.10 : 552.10 = 370.71 : x
  2. Step 2: Convert to fraction form
    400.10/552.10 = 370.71/x
  3. Step 3: Cross multiply
    400.10x = 552.10 × 370.71
  4. Step 4: Simplify right side
    400.10x = 204,664.38
  5. Step 5: Solve for x
    x = 204,664.38/400.10
  6. Step 6: Final answer
    x = 511.53

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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.