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Finding the Fourth Proportional to 307.69, 424.49 and 191.17

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Solution

The fourth proportional to 307.69, 424.49 and 191.17 is: 263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.69 : 424.49 = 191.17 : x
  2. Step 2: Convert to fraction form
    307.69/424.49 = 191.17/x
  3. Step 3: Cross multiply
    307.69x = 424.49 × 191.17
  4. Step 4: Simplify right side
    307.69x = 81,148.80
  5. Step 5: Solve for x
    x = 81,148.80/307.69
  6. Step 6: Final answer
    x = 263.74

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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.