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Finding the Fourth Proportional to 347.08, 518.12 and 322.78

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Solution

The fourth proportional to 347.08, 518.12 and 322.78 is: 481.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.08 : 518.12 = 322.78 : x
  2. Step 2: Convert to fraction form
    347.08/518.12 = 322.78/x
  3. Step 3: Cross multiply
    347.08x = 518.12 × 322.78
  4. Step 4: Simplify right side
    347.08x = 167,238.77
  5. Step 5: Solve for x
    x = 167,238.77/347.08
  6. Step 6: Final answer
    x = 481.85

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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.