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Finding the Fourth Proportional to 346.97, 517.26 and 329.66

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Solution

The fourth proportional to 346.97, 517.26 and 329.66 is: 491.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.97 : 517.26 = 329.66 : x
  2. Step 2: Convert to fraction form
    346.97/517.26 = 329.66/x
  3. Step 3: Cross multiply
    346.97x = 517.26 × 329.66
  4. Step 4: Simplify right side
    346.97x = 170,519.93
  5. Step 5: Solve for x
    x = 170,519.93/346.97
  6. Step 6: Final answer
    x = 491.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.