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Finding the Fourth Proportional to 250.65, 345.90 and 145.80

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Solution

The fourth proportional to 250.65, 345.90 and 145.80 is: 201.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.65 : 345.90 = 145.80 : x
  2. Step 2: Convert to fraction form
    250.65/345.90 = 145.80/x
  3. Step 3: Cross multiply
    250.65x = 345.90 × 145.80
  4. Step 4: Simplify right side
    250.65x = 50,431.49
  5. Step 5: Solve for x
    x = 50,431.49/250.65
  6. Step 6: Final answer
    x = 201.20

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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.