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Finding the Fourth Proportional to 250.96, 346.12 and 180.88

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Solution

The fourth proportional to 250.96, 346.12 and 180.88 is: 249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.96 : 346.12 = 180.88 : x
  2. Step 2: Convert to fraction form
    250.96/346.12 = 180.88/x
  3. Step 3: Cross multiply
    250.96x = 346.12 × 180.88
  4. Step 4: Simplify right side
    250.96x = 62,606.19
  5. Step 5: Solve for x
    x = 62,606.19/250.96
  6. Step 6: Final answer
    x = 249.47

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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.