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Finding the Fourth Proportional to 143.13, 213.66 and 123.99

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Solution

The fourth proportional to 143.13, 213.66 and 123.99 is: 185.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.13 : 213.66 = 123.99 : x
  2. Step 2: Convert to fraction form
    143.13/213.66 = 123.99/x
  3. Step 3: Cross multiply
    143.13x = 213.66 × 123.99
  4. Step 4: Simplify right side
    143.13x = 26,491.70
  5. Step 5: Solve for x
    x = 26,491.70/143.13
  6. Step 6: Final answer
    x = 185.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.