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Finding the Fourth Proportional to 307.38, 424.19 and 167.51

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Solution

The fourth proportional to 307.38, 424.19 and 167.51 is: 231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.38 : 424.19 = 167.51 : x
  2. Step 2: Convert to fraction form
    307.38/424.19 = 167.51/x
  3. Step 3: Cross multiply
    307.38x = 424.19 × 167.51
  4. Step 4: Simplify right side
    307.38x = 71,053.11
  5. Step 5: Solve for x
    x = 71,053.11/307.38
  6. Step 6: Final answer
    x = 231.16

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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.