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Finding the Fourth Proportional to 400.74, 553.01 and 226.08

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Solution

The fourth proportional to 400.74, 553.01 and 226.08 is: 311.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.74 : 553.01 = 226.08 : x
  2. Step 2: Convert to fraction form
    400.74/553.01 = 226.08/x
  3. Step 3: Cross multiply
    400.74x = 553.01 × 226.08
  4. Step 4: Simplify right side
    400.74x = 125,024.50
  5. Step 5: Solve for x
    x = 125,024.50/400.74
  6. Step 6: Final answer
    x = 311.98

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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.