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Finding the Fourth Proportional to 347.64, 517.84 and 329

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Solution

The fourth proportional to 347.64, 517.84 and 329 is: 490.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.64 : 517.84 = 329 : x
  2. Step 2: Convert to fraction form
    347.64/517.84 = 329/x
  3. Step 3: Cross multiply
    347.64x = 517.84 × 329
  4. Step 4: Simplify right side
    347.64x = 170,369.36
  5. Step 5: Solve for x
    x = 170,369.36/347.64
  6. Step 6: Final answer
    x = 490.07

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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.