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Finding the Fourth Proportional to 250.60, 345.70 and 205.80

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Solution

The fourth proportional to 250.60, 345.70 and 205.80 is: 283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.60 : 345.70 = 205.80 : x
  2. Step 2: Convert to fraction form
    250.60/345.70 = 205.80/x
  3. Step 3: Cross multiply
    250.60x = 345.70 × 205.80
  4. Step 4: Simplify right side
    250.60x = 71,145.06
  5. Step 5: Solve for x
    x = 71,145.06/250.60
  6. Step 6: Final answer
    x = 283.90

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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.