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Finding the Fourth Proportional to 341.97, 512.78 and 147.06

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Solution

The fourth proportional to 341.97, 512.78 and 147.06 is: 220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.97 : 512.78 = 147.06 : x
  2. Step 2: Convert to fraction form
    341.97/512.78 = 147.06/x
  3. Step 3: Cross multiply
    341.97x = 512.78 × 147.06
  4. Step 4: Simplify right side
    341.97x = 75,409.43
  5. Step 5: Solve for x
    x = 75,409.43/341.97
  6. Step 6: Final answer
    x = 220.51

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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.