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Finding the Fourth Proportional to 279, 418.78 and 157.40

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Solution

The fourth proportional to 279, 418.78 and 157.40 is: 236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    279 : 418.78 = 157.40 : x
  2. Step 2: Convert to fraction form
    279/418.78 = 157.40/x
  3. Step 3: Cross multiply
    279x = 418.78 × 157.40
  4. Step 4: Simplify right side
    279x = 65,915.97
  5. Step 5: Solve for x
    x = 65,915.97/279
  6. Step 6: Final answer
    x = 236.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.