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Finding the Fourth Proportional to 204.71, 306.80 and 89.02

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Solution

The fourth proportional to 204.71, 306.80 and 89.02 is: 133.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.71 : 306.80 = 89.02 : x
  2. Step 2: Convert to fraction form
    204.71/306.80 = 89.02/x
  3. Step 3: Cross multiply
    204.71x = 306.80 × 89.02
  4. Step 4: Simplify right side
    204.71x = 27,311.34
  5. Step 5: Solve for x
    x = 27,311.34/204.71
  6. Step 6: Final answer
    x = 133.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.