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Finding the Fourth Proportional to 250.72, 345.48 and 204.28

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Solution

The fourth proportional to 250.72, 345.48 and 204.28 is: 281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.72 : 345.48 = 204.28 : x
  2. Step 2: Convert to fraction form
    250.72/345.48 = 204.28/x
  3. Step 3: Cross multiply
    250.72x = 345.48 × 204.28
  4. Step 4: Simplify right side
    250.72x = 70,574.65
  5. Step 5: Solve for x
    x = 70,574.65/250.72
  6. Step 6: Final answer
    x = 281.49

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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.