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Finding the Fourth Proportional to 307.57, 424.44 and 167.69

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Solution

The fourth proportional to 307.57, 424.44 and 167.69 is: 231.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.57 : 424.44 = 167.69 : x
  2. Step 2: Convert to fraction form
    307.57/424.44 = 167.69/x
  3. Step 3: Cross multiply
    307.57x = 424.44 × 167.69
  4. Step 4: Simplify right side
    307.57x = 71,174.34
  5. Step 5: Solve for x
    x = 71,174.34/307.57
  6. Step 6: Final answer
    x = 231.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.