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Finding the Fourth Proportional to 400.72, 552.58 and 282.48

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Solution

The fourth proportional to 400.72, 552.58 and 282.48 is: 389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.72 : 552.58 = 282.48 : x
  2. Step 2: Convert to fraction form
    400.72/552.58 = 282.48/x
  3. Step 3: Cross multiply
    400.72x = 552.58 × 282.48
  4. Step 4: Simplify right side
    400.72x = 156,092.80
  5. Step 5: Solve for x
    x = 156,092.80/400.72
  6. Step 6: Final answer
    x = 389.53

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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.