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Finding the Fourth Proportional to 347.61, 481.90 and 329.12

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Solution

The fourth proportional to 347.61, 481.90 and 329.12 is: 456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.61 : 481.90 = 329.12 : x
  2. Step 2: Convert to fraction form
    347.61/481.90 = 329.12/x
  3. Step 3: Cross multiply
    347.61x = 481.90 × 329.12
  4. Step 4: Simplify right side
    347.61x = 158,602.93
  5. Step 5: Solve for x
    x = 158,602.93/347.61
  6. Step 6: Final answer
    x = 456.27

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.