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Finding the Fourth Proportional to 320.59, 480.80 and 115.15

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Solution

The fourth proportional to 320.59, 480.80 and 115.15 is: 172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.59 : 480.80 = 115.15 : x
  2. Step 2: Convert to fraction form
    320.59/480.80 = 115.15/x
  3. Step 3: Cross multiply
    320.59x = 480.80 × 115.15
  4. Step 4: Simplify right side
    320.59x = 55,363.21
  5. Step 5: Solve for x
    x = 55,363.21/320.59
  6. Step 6: Final answer
    x = 172.69

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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.