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Finding the Fourth Proportional to 289.06, 398.83 and 171.04

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Solution

The fourth proportional to 289.06, 398.83 and 171.04 is: 235.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.06 : 398.83 = 171.04 : x
  2. Step 2: Convert to fraction form
    289.06/398.83 = 171.04/x
  3. Step 3: Cross multiply
    289.06x = 398.83 × 171.04
  4. Step 4: Simplify right side
    289.06x = 68,215.88
  5. Step 5: Solve for x
    x = 68,215.88/289.06
  6. Step 6: Final answer
    x = 235.99

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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.