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Finding the Fourth Proportional to 307.75, 461.78 and 161.45

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Solution

The fourth proportional to 307.75, 461.78 and 161.45 is: 242.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.75 : 461.78 = 161.45 : x
  2. Step 2: Convert to fraction form
    307.75/461.78 = 161.45/x
  3. Step 3: Cross multiply
    307.75x = 461.78 × 161.45
  4. Step 4: Simplify right side
    307.75x = 74,554.38
  5. Step 5: Solve for x
    x = 74,554.38/307.75
  6. Step 6: Final answer
    x = 242.26

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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.