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Finding the Fourth Proportional to 341.82, 512.48 and 158.96

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Solution

The fourth proportional to 341.82, 512.48 and 158.96 is: 238.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.82 : 512.48 = 158.96 : x
  2. Step 2: Convert to fraction form
    341.82/512.48 = 158.96/x
  3. Step 3: Cross multiply
    341.82x = 512.48 × 158.96
  4. Step 4: Simplify right side
    341.82x = 81,463.82
  5. Step 5: Solve for x
    x = 81,463.82/341.82
  6. Step 6: Final answer
    x = 238.32

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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.