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Finding the Fourth Proportional to 401.55, 554.11 and 226.92

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Solution

The fourth proportional to 401.55, 554.11 and 226.92 is: 313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.55 : 554.11 = 226.92 : x
  2. Step 2: Convert to fraction form
    401.55/554.11 = 226.92/x
  3. Step 3: Cross multiply
    401.55x = 554.11 × 226.92
  4. Step 4: Simplify right side
    401.55x = 125,740.15
  5. Step 5: Solve for x
    x = 125,740.15/401.55
  6. Step 6: Final answer
    x = 313.14

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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.