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Finding the Fourth Proportional to 289.10, 398.61 and 194.58

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Solution

The fourth proportional to 289.10, 398.61 and 194.58 is: 268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.10 : 398.61 = 194.58 : x
  2. Step 2: Convert to fraction form
    289.10/398.61 = 194.58/x
  3. Step 3: Cross multiply
    289.10x = 398.61 × 194.58
  4. Step 4: Simplify right side
    289.10x = 77,561.53
  5. Step 5: Solve for x
    x = 77,561.53/289.10
  6. Step 6: Final answer
    x = 268.28

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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.