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Finding the Fourth Proportional to 401.57, 554.16 and 224.54

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Solution

The fourth proportional to 401.57, 554.16 and 224.54 is: 309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.57 : 554.16 = 224.54 : x
  2. Step 2: Convert to fraction form
    401.57/554.16 = 224.54/x
  3. Step 3: Cross multiply
    401.57x = 554.16 × 224.54
  4. Step 4: Simplify right side
    401.57x = 124,431.09
  5. Step 5: Solve for x
    x = 124,431.09/401.57
  6. Step 6: Final answer
    x = 309.86

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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.