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Finding the Fourth Proportional to 143.81, 214.47 and 136.65

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Solution

The fourth proportional to 143.81, 214.47 and 136.65 is: 203.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.81 : 214.47 = 136.65 : x
  2. Step 2: Convert to fraction form
    143.81/214.47 = 136.65/x
  3. Step 3: Cross multiply
    143.81x = 214.47 × 136.65
  4. Step 4: Simplify right side
    143.81x = 29,307.33
  5. Step 5: Solve for x
    x = 29,307.33/143.81
  6. Step 6: Final answer
    x = 203.79

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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.