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Finding the Fourth Proportional to 347.80, 519.20 and 322.48

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Solution

The fourth proportional to 347.80, 519.20 and 322.48 is: 481.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.80 : 519.20 = 322.48 : x
  2. Step 2: Convert to fraction form
    347.80/519.20 = 322.48/x
  3. Step 3: Cross multiply
    347.80x = 519.20 × 322.48
  4. Step 4: Simplify right side
    347.80x = 167,431.62
  5. Step 5: Solve for x
    x = 167,431.62/347.80
  6. Step 6: Final answer
    x = 481.40

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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.