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Finding the Fourth Proportional to 347.64, 518.21 and 321.72

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Solution

The fourth proportional to 347.64, 518.21 and 321.72 is: 479.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.64 : 518.21 = 321.72 : x
  2. Step 2: Convert to fraction form
    347.64/518.21 = 321.72/x
  3. Step 3: Cross multiply
    347.64x = 518.21 × 321.72
  4. Step 4: Simplify right side
    347.64x = 166,716.91
  5. Step 5: Solve for x
    x = 166,716.91/347.64
  6. Step 6: Final answer
    x = 479.57

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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.