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Finding the Fourth Proportional to 250.78, 345.92 and 211.70

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Solution

The fourth proportional to 250.78, 345.92 and 211.70 is: 292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.78 : 345.92 = 211.70 : x
  2. Step 2: Convert to fraction form
    250.78/345.92 = 211.70/x
  3. Step 3: Cross multiply
    250.78x = 345.92 × 211.70
  4. Step 4: Simplify right side
    250.78x = 73,230.32
  5. Step 5: Solve for x
    x = 73,230.32/250.78
  6. Step 6: Final answer
    x = 292.01

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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.