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Finding the Fourth Proportional to 301.68, 451.75 and 191.65

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Solution

The fourth proportional to 301.68, 451.75 and 191.65 is: 286.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.68 : 451.75 = 191.65 : x
  2. Step 2: Convert to fraction form
    301.68/451.75 = 191.65/x
  3. Step 3: Cross multiply
    301.68x = 451.75 × 191.65
  4. Step 4: Simplify right side
    301.68x = 86,577.89
  5. Step 5: Solve for x
    x = 86,577.89/301.68
  6. Step 6: Final answer
    x = 286.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.