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Finding the Fourth Proportional to 320.61, 481.56 and 301.17

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Solution

The fourth proportional to 320.61, 481.56 and 301.17 is: 452.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.61 : 481.56 = 301.17 : x
  2. Step 2: Convert to fraction form
    320.61/481.56 = 301.17/x
  3. Step 3: Cross multiply
    320.61x = 481.56 × 301.17
  4. Step 4: Simplify right side
    320.61x = 145,031.43
  5. Step 5: Solve for x
    x = 145,031.43/320.61
  6. Step 6: Final answer
    x = 452.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.