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Finding the Fourth Proportional to 289.01, 398.79 and 178.43

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Solution

The fourth proportional to 289.01, 398.79 and 178.43 is: 246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.01 : 398.79 = 178.43 : x
  2. Step 2: Convert to fraction form
    289.01/398.79 = 178.43/x
  3. Step 3: Cross multiply
    289.01x = 398.79 × 178.43
  4. Step 4: Simplify right side
    289.01x = 71,156.10
  5. Step 5: Solve for x
    x = 71,156.10/289.01
  6. Step 6: Final answer
    x = 246.21

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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.