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Finding the Fourth Proportional to 289.72, 400.09 and 248.02

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Solution

The fourth proportional to 289.72, 400.09 and 248.02 is: 342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.72 : 400.09 = 248.02 : x
  2. Step 2: Convert to fraction form
    289.72/400.09 = 248.02/x
  3. Step 3: Cross multiply
    289.72x = 400.09 × 248.02
  4. Step 4: Simplify right side
    289.72x = 99,229.08
  5. Step 5: Solve for x
    x = 99,229.08/289.72
  6. Step 6: Final answer
    x = 342.51

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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.