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Finding the Fourth Proportional to 289.74, 400.02 and 224.12

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Solution

The fourth proportional to 289.74, 400.02 and 224.12 is: 309.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.74 : 400.02 = 224.12 : x
  2. Step 2: Convert to fraction form
    289.74/400.02 = 224.12/x
  3. Step 3: Cross multiply
    289.74x = 400.02 × 224.12
  4. Step 4: Simplify right side
    289.74x = 89,652.48
  5. Step 5: Solve for x
    x = 89,652.48/289.74
  6. Step 6: Final answer
    x = 309.42

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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.