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Finding the Fourth Proportional to 249.88, 345 and 162.70

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Solution

The fourth proportional to 249.88, 345 and 162.70 is: 224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.88 : 345 = 162.70 : x
  2. Step 2: Convert to fraction form
    249.88/345 = 162.70/x
  3. Step 3: Cross multiply
    249.88x = 345 × 162.70
  4. Step 4: Simplify right side
    249.88x = 56,131.50
  5. Step 5: Solve for x
    x = 56,131.50/249.88
  6. Step 6: Final answer
    x = 224.64

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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.