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Finding the Fourth Proportional to 349.82, 517.40 and 349.82

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Solution

The fourth proportional to 349.82, 517.40 and 349.82 is: 517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.82 : 517.40 = 349.82 : x
  2. Step 2: Convert to fraction form
    349.82/517.40 = 349.82/x
  3. Step 3: Cross multiply
    349.82x = 517.40 × 349.82
  4. Step 4: Simplify right side
    349.82x = 180,995.16
  5. Step 5: Solve for x
    x = 180,995.16/349.82
  6. Step 6: Final answer
    x = 517.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.