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Finding the Fourth Proportional to 203.60, 306.50 and 155.72

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Solution

The fourth proportional to 203.60, 306.50 and 155.72 is: 234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.60 : 306.50 = 155.72 : x
  2. Step 2: Convert to fraction form
    203.60/306.50 = 155.72/x
  3. Step 3: Cross multiply
    203.60x = 306.50 × 155.72
  4. Step 4: Simplify right side
    203.60x = 47,728.18
  5. Step 5: Solve for x
    x = 47,728.18/203.60
  6. Step 6: Final answer
    x = 234.42

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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.