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Finding the Fourth Proportional to 274.68, 412.38 and 159.24

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Solution

The fourth proportional to 274.68, 412.38 and 159.24 is: 239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.68 : 412.38 = 159.24 : x
  2. Step 2: Convert to fraction form
    274.68/412.38 = 159.24/x
  3. Step 3: Cross multiply
    274.68x = 412.38 × 159.24
  4. Step 4: Simplify right side
    274.68x = 65,667.39
  5. Step 5: Solve for x
    x = 65,667.39/274.68
  6. Step 6: Final answer
    x = 239.07

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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.