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Finding the Fourth Proportional to 341.93, 512.18 and 159.48

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Solution

The fourth proportional to 341.93, 512.18 and 159.48 is: 238.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.93 : 512.18 = 159.48 : x
  2. Step 2: Convert to fraction form
    341.93/512.18 = 159.48/x
  3. Step 3: Cross multiply
    341.93x = 512.18 × 159.48
  4. Step 4: Simplify right side
    341.93x = 81,682.47
  5. Step 5: Solve for x
    x = 81,682.47/341.93
  6. Step 6: Final answer
    x = 238.89

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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.