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Finding the Fourth Proportional to 250.71, 345.97 and 140.19

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Solution

The fourth proportional to 250.71, 345.97 and 140.19 is: 193.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.71 : 345.97 = 140.19 : x
  2. Step 2: Convert to fraction form
    250.71/345.97 = 140.19/x
  3. Step 3: Cross multiply
    250.71x = 345.97 × 140.19
  4. Step 4: Simplify right side
    250.71x = 48,501.53
  5. Step 5: Solve for x
    x = 48,501.53/250.71
  6. Step 6: Final answer
    x = 193.46

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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.