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Finding the Fourth Proportional to 250.70, 345.90 and 145.78

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Solution

The fourth proportional to 250.70, 345.90 and 145.78 is: 201.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.70 : 345.90 = 145.78 : x
  2. Step 2: Convert to fraction form
    250.70/345.90 = 145.78/x
  3. Step 3: Cross multiply
    250.70x = 345.90 × 145.78
  4. Step 4: Simplify right side
    250.70x = 50,425.30
  5. Step 5: Solve for x
    x = 50,425.30/250.70
  6. Step 6: Final answer
    x = 201.14

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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.