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Finding the Fourth Proportional to 203.59, 306.56 and 149.86

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Solution

The fourth proportional to 203.59, 306.56 and 149.86 is: 225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.59 : 306.56 = 149.86 : x
  2. Step 2: Convert to fraction form
    203.59/306.56 = 149.86/x
  3. Step 3: Cross multiply
    203.59x = 306.56 × 149.86
  4. Step 4: Simplify right side
    203.59x = 45,941.08
  5. Step 5: Solve for x
    x = 45,941.08/203.59
  6. Step 6: Final answer
    x = 225.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.