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Finding the Fourth Proportional to 143.04, 213.16 and 142.23

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Solution

The fourth proportional to 143.04, 213.16 and 142.23 is: 211.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.04 : 213.16 = 142.23 : x
  2. Step 2: Convert to fraction form
    143.04/213.16 = 142.23/x
  3. Step 3: Cross multiply
    143.04x = 213.16 × 142.23
  4. Step 4: Simplify right side
    143.04x = 30,317.39
  5. Step 5: Solve for x
    x = 30,317.39/143.04
  6. Step 6: Final answer
    x = 211.95

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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.