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Finding the Fourth Proportional to 400.57, 552.89 and 261.03

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Solution

The fourth proportional to 400.57, 552.89 and 261.03 is: 360.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.57 : 552.89 = 261.03 : x
  2. Step 2: Convert to fraction form
    400.57/552.89 = 261.03/x
  3. Step 3: Cross multiply
    400.57x = 552.89 × 261.03
  4. Step 4: Simplify right side
    400.57x = 144,319.57
  5. Step 5: Solve for x
    x = 144,319.57/400.57
  6. Step 6: Final answer
    x = 360.29

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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.