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Finding the Fourth Proportional to 270.76, 373.66 and 204.25

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Solution

The fourth proportional to 270.76, 373.66 and 204.25 is: 281.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.76 : 373.66 = 204.25 : x
  2. Step 2: Convert to fraction form
    270.76/373.66 = 204.25/x
  3. Step 3: Cross multiply
    270.76x = 373.66 × 204.25
  4. Step 4: Simplify right side
    270.76x = 76,319.77
  5. Step 5: Solve for x
    x = 76,319.77/270.76
  6. Step 6: Final answer
    x = 281.88

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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.