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Finding the Fourth Proportional to 400.48, 553.04 and 371.36

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Solution

The fourth proportional to 400.48, 553.04 and 371.36 is: 512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.48 : 553.04 = 371.36 : x
  2. Step 2: Convert to fraction form
    400.48/553.04 = 371.36/x
  3. Step 3: Cross multiply
    400.48x = 553.04 × 371.36
  4. Step 4: Simplify right side
    400.48x = 205,376.93
  5. Step 5: Solve for x
    x = 205,376.93/400.48
  6. Step 6: Final answer
    x = 512.83

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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.