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Finding the Fourth Proportional to 217.23, 299.88 and 142.57

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Solution

The fourth proportional to 217.23, 299.88 and 142.57 is: 196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.23 : 299.88 = 142.57 : x
  2. Step 2: Convert to fraction form
    217.23/299.88 = 142.57/x
  3. Step 3: Cross multiply
    217.23x = 299.88 × 142.57
  4. Step 4: Simplify right side
    217.23x = 42,753.89
  5. Step 5: Solve for x
    x = 42,753.89/217.23
  6. Step 6: Final answer
    x = 196.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.