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Finding the Fourth Proportional to 341.62, 512.27 and 158.86

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Solution

The fourth proportional to 341.62, 512.27 and 158.86 is: 238.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.62 : 512.27 = 158.86 : x
  2. Step 2: Convert to fraction form
    341.62/512.27 = 158.86/x
  3. Step 3: Cross multiply
    341.62x = 512.27 × 158.86
  4. Step 4: Simplify right side
    341.62x = 81,377.14
  5. Step 5: Solve for x
    x = 81,377.14/341.62
  6. Step 6: Final answer
    x = 238.21

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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.