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Finding the Fourth Proportional to 217.24, 299.78 and 143.59

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Solution

The fourth proportional to 217.24, 299.78 and 143.59 is: 198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.24 : 299.78 = 143.59 : x
  2. Step 2: Convert to fraction form
    217.24/299.78 = 143.59/x
  3. Step 3: Cross multiply
    217.24x = 299.78 × 143.59
  4. Step 4: Simplify right side
    217.24x = 43,045.41
  5. Step 5: Solve for x
    x = 43,045.41/217.24
  6. Step 6: Final answer
    x = 198.15

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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.