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Finding the Fourth Proportional to 401.60, 554.16 and 226.96

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Solution

The fourth proportional to 401.60, 554.16 and 226.96 is: 313.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.60 : 554.16 = 226.96 : x
  2. Step 2: Convert to fraction form
    401.60/554.16 = 226.96/x
  3. Step 3: Cross multiply
    401.60x = 554.16 × 226.96
  4. Step 4: Simplify right side
    401.60x = 125,772.15
  5. Step 5: Solve for x
    x = 125,772.15/401.60
  6. Step 6: Final answer
    x = 313.18

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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.