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Finding the Fourth Proportional to 400.08, 552.09 and 223.02

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Solution

The fourth proportional to 400.08, 552.09 and 223.02 is: 307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.08 : 552.09 = 223.02 : x
  2. Step 2: Convert to fraction form
    400.08/552.09 = 223.02/x
  3. Step 3: Cross multiply
    400.08x = 552.09 × 223.02
  4. Step 4: Simplify right side
    400.08x = 123,127.11
  5. Step 5: Solve for x
    x = 123,127.11/400.08
  6. Step 6: Final answer
    x = 307.76

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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.