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Finding the Fourth Proportional to 307.82, 424.79 and 167.93

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Solution

The fourth proportional to 307.82, 424.79 and 167.93 is: 231.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.82 : 424.79 = 167.93 : x
  2. Step 2: Convert to fraction form
    307.82/424.79 = 167.93/x
  3. Step 3: Cross multiply
    307.82x = 424.79 × 167.93
  4. Step 4: Simplify right side
    307.82x = 71,335.60
  5. Step 5: Solve for x
    x = 71,335.60/307.82
  6. Step 6: Final answer
    x = 231.74

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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.