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Finding the Fourth Proportional to 400.80, 552.98 and 261.11

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Solution

The fourth proportional to 400.80, 552.98 and 261.11 is: 360.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.80 : 552.98 = 261.11 : x
  2. Step 2: Convert to fraction form
    400.80/552.98 = 261.11/x
  3. Step 3: Cross multiply
    400.80x = 552.98 × 261.11
  4. Step 4: Simplify right side
    400.80x = 144,390.21
  5. Step 5: Solve for x
    x = 144,390.21/400.80
  6. Step 6: Final answer
    x = 360.26

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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.