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Finding the Fourth Proportional to 250.90, 345.99 and 204.46

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Solution

The fourth proportional to 250.90, 345.99 and 204.46 is: 281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.90 : 345.99 = 204.46 : x
  2. Step 2: Convert to fraction form
    250.90/345.99 = 204.46/x
  3. Step 3: Cross multiply
    250.90x = 345.99 × 204.46
  4. Step 4: Simplify right side
    250.90x = 70,741.12
  5. Step 5: Solve for x
    x = 70,741.12/250.90
  6. Step 6: Final answer
    x = 281.95

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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.