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Finding the Fourth Proportional to 289.25, 398.98 and 194.89

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Solution

The fourth proportional to 289.25, 398.98 and 194.89 is: 268.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.25 : 398.98 = 194.89 : x
  2. Step 2: Convert to fraction form
    289.25/398.98 = 194.89/x
  3. Step 3: Cross multiply
    289.25x = 398.98 × 194.89
  4. Step 4: Simplify right side
    289.25x = 77,754.24
  5. Step 5: Solve for x
    x = 77,754.24/289.25
  6. Step 6: Final answer
    x = 268.81

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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.