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Finding the Fourth Proportional to 349.03, 522.66 and 166.17

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Solution

The fourth proportional to 349.03, 522.66 and 166.17 is: 248.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.03 : 522.66 = 166.17 : x
  2. Step 2: Convert to fraction form
    349.03/522.66 = 166.17/x
  3. Step 3: Cross multiply
    349.03x = 522.66 × 166.17
  4. Step 4: Simplify right side
    349.03x = 86,850.41
  5. Step 5: Solve for x
    x = 86,850.41/349.03
  6. Step 6: Final answer
    x = 248.83

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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.