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Finding the Fourth Proportional to 203.52, 306.40 and 158.12

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Solution

The fourth proportional to 203.52, 306.40 and 158.12 is: 238.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.52 : 306.40 = 158.12 : x
  2. Step 2: Convert to fraction form
    203.52/306.40 = 158.12/x
  3. Step 3: Cross multiply
    203.52x = 306.40 × 158.12
  4. Step 4: Simplify right side
    203.52x = 48,447.97
  5. Step 5: Solve for x
    x = 48,447.97/203.52
  6. Step 6: Final answer
    x = 238.05

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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.