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Finding the Fourth Proportional to 204.61, 306.75 and 149.02

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Solution

The fourth proportional to 204.61, 306.75 and 149.02 is: 223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.61 : 306.75 = 149.02 : x
  2. Step 2: Convert to fraction form
    204.61/306.75 = 149.02/x
  3. Step 3: Cross multiply
    204.61x = 306.75 × 149.02
  4. Step 4: Simplify right side
    204.61x = 45,711.89
  5. Step 5: Solve for x
    x = 45,711.89/204.61
  6. Step 6: Final answer
    x = 223.41

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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.