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Finding the Fourth Proportional to 249.29, 344.08 and 151.06

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Solution

The fourth proportional to 249.29, 344.08 and 151.06 is: 208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.29 : 344.08 = 151.06 : x
  2. Step 2: Convert to fraction form
    249.29/344.08 = 151.06/x
  3. Step 3: Cross multiply
    249.29x = 344.08 × 151.06
  4. Step 4: Simplify right side
    249.29x = 51,976.72
  5. Step 5: Solve for x
    x = 51,976.72/249.29
  6. Step 6: Final answer
    x = 208.50

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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.