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Finding the Fourth Proportional to 250.16, 344.73 and 203.66

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Solution

The fourth proportional to 250.16, 344.73 and 203.66 is: 280.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.16 : 344.73 = 203.66 : x
  2. Step 2: Convert to fraction form
    250.16/344.73 = 203.66/x
  3. Step 3: Cross multiply
    250.16x = 344.73 × 203.66
  4. Step 4: Simplify right side
    250.16x = 70,207.71
  5. Step 5: Solve for x
    x = 70,207.71/250.16
  6. Step 6: Final answer
    x = 280.65

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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.