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Finding the Fourth Proportional to 334.79, 462.06 and 194.99

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Solution

The fourth proportional to 334.79, 462.06 and 194.99 is: 269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.79 : 462.06 = 194.99 : x
  2. Step 2: Convert to fraction form
    334.79/462.06 = 194.99/x
  3. Step 3: Cross multiply
    334.79x = 462.06 × 194.99
  4. Step 4: Simplify right side
    334.79x = 90,097.08
  5. Step 5: Solve for x
    x = 90,097.08/334.79
  6. Step 6: Final answer
    x = 269.12

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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.