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Finding the Fourth Proportional to 409.75, 614.75 and 121.20

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Solution

The fourth proportional to 409.75, 614.75 and 121.20 is: 181.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.75 : 614.75 = 121.20 : x
  2. Step 2: Convert to fraction form
    409.75/614.75 = 121.20/x
  3. Step 3: Cross multiply
    409.75x = 614.75 × 121.20
  4. Step 4: Simplify right side
    409.75x = 74,507.70
  5. Step 5: Solve for x
    x = 74,507.70/409.75
  6. Step 6: Final answer
    x = 181.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.