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Finding the Fourth Proportional to 143.74, 214.11 and 136.04

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Solution

The fourth proportional to 143.74, 214.11 and 136.04 is: 202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.74 : 214.11 = 136.04 : x
  2. Step 2: Convert to fraction form
    143.74/214.11 = 136.04/x
  3. Step 3: Cross multiply
    143.74x = 214.11 × 136.04
  4. Step 4: Simplify right side
    143.74x = 29,127.52
  5. Step 5: Solve for x
    x = 29,127.52/143.74
  6. Step 6: Final answer
    x = 202.65

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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.