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Finding the Fourth Proportional to 143.19, 213.62 and 136.35

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Solution

The fourth proportional to 143.19, 213.62 and 136.35 is: 203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.19 : 213.62 = 136.35 : x
  2. Step 2: Convert to fraction form
    143.19/213.62 = 136.35/x
  3. Step 3: Cross multiply
    143.19x = 213.62 × 136.35
  4. Step 4: Simplify right side
    143.19x = 29,126.41
  5. Step 5: Solve for x
    x = 29,126.41/143.19
  6. Step 6: Final answer
    x = 203.41

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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.