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Finding the Fourth Proportional to 249.51, 344.07 and 229.89

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Solution

The fourth proportional to 249.51, 344.07 and 229.89 is: 317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.51 : 344.07 = 229.89 : x
  2. Step 2: Convert to fraction form
    249.51/344.07 = 229.89/x
  3. Step 3: Cross multiply
    249.51x = 344.07 × 229.89
  4. Step 4: Simplify right side
    249.51x = 79,098.25
  5. Step 5: Solve for x
    x = 79,098.25/249.51
  6. Step 6: Final answer
    x = 317.01

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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.