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Finding the Fourth Proportional to 301.89, 416.61 and 191.43

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Solution

The fourth proportional to 301.89, 416.61 and 191.43 is: 264.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.89 : 416.61 = 191.43 : x
  2. Step 2: Convert to fraction form
    301.89/416.61 = 191.43/x
  3. Step 3: Cross multiply
    301.89x = 416.61 × 191.43
  4. Step 4: Simplify right side
    301.89x = 79,751.65
  5. Step 5: Solve for x
    x = 79,751.65/301.89
  6. Step 6: Final answer
    x = 264.17

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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.