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Finding the Fourth Proportional to 320.79, 481.13 and 89.63

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Solution

The fourth proportional to 320.79, 481.13 and 89.63 is: 134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.79 : 481.13 = 89.63 : x
  2. Step 2: Convert to fraction form
    320.79/481.13 = 89.63/x
  3. Step 3: Cross multiply
    320.79x = 481.13 × 89.63
  4. Step 4: Simplify right side
    320.79x = 43,121.28
  5. Step 5: Solve for x
    x = 43,121.28/320.79
  6. Step 6: Final answer
    x = 134.42

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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.