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Finding the Fourth Proportional to 249.98, 344.84 and 162.50

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Solution

The fourth proportional to 249.98, 344.84 and 162.50 is: 224.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.98 : 344.84 = 162.50 : x
  2. Step 2: Convert to fraction form
    249.98/344.84 = 162.50/x
  3. Step 3: Cross multiply
    249.98x = 344.84 × 162.50
  4. Step 4: Simplify right side
    249.98x = 56,036.50
  5. Step 5: Solve for x
    x = 56,036.50/249.98
  6. Step 6: Final answer
    x = 224.16

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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.