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Finding the Fourth Proportional to 341.48, 512.27 and 107.23

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Solution

The fourth proportional to 341.48, 512.27 and 107.23 is: 160.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.48 : 512.27 = 107.23 : x
  2. Step 2: Convert to fraction form
    341.48/512.27 = 107.23/x
  3. Step 3: Cross multiply
    341.48x = 512.27 × 107.23
  4. Step 4: Simplify right side
    341.48x = 54,930.71
  5. Step 5: Solve for x
    x = 54,930.71/341.48
  6. Step 6: Final answer
    x = 160.86

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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.