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Finding the Fourth Proportional to 134.65, 200.75 and 121.69

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Solution

The fourth proportional to 134.65, 200.75 and 121.69 is: 181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.65 : 200.75 = 121.69 : x
  2. Step 2: Convert to fraction form
    134.65/200.75 = 121.69/x
  3. Step 3: Cross multiply
    134.65x = 200.75 × 121.69
  4. Step 4: Simplify right side
    134.65x = 24,429.27
  5. Step 5: Solve for x
    x = 24,429.27/134.65
  6. Step 6: Final answer
    x = 181.43

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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.