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Finding the Fourth Proportional to 203.17, 306.24 and 185.86

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Solution

The fourth proportional to 203.17, 306.24 and 185.86 is: 280.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.17 : 306.24 = 185.86 : x
  2. Step 2: Convert to fraction form
    203.17/306.24 = 185.86/x
  3. Step 3: Cross multiply
    203.17x = 306.24 × 185.86
  4. Step 4: Simplify right side
    203.17x = 56,916.30
  5. Step 5: Solve for x
    x = 56,916.30/203.17
  6. Step 6: Final answer
    x = 280.14

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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.