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Finding the Fourth Proportional to 279.34, 418.71 and 157.57

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Solution

The fourth proportional to 279.34, 418.71 and 157.57 is: 236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.34 : 418.71 = 157.57 : x
  2. Step 2: Convert to fraction form
    279.34/418.71 = 157.57/x
  3. Step 3: Cross multiply
    279.34x = 418.71 × 157.57
  4. Step 4: Simplify right side
    279.34x = 65,976.13
  5. Step 5: Solve for x
    x = 65,976.13/279.34
  6. Step 6: Final answer
    x = 236.19

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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.