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Finding the Fourth Proportional to 320.06, 480.18 and 251.61

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Solution

The fourth proportional to 320.06, 480.18 and 251.61 is: 377.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.06 : 480.18 = 251.61 : x
  2. Step 2: Convert to fraction form
    320.06/480.18 = 251.61/x
  3. Step 3: Cross multiply
    320.06x = 480.18 × 251.61
  4. Step 4: Simplify right side
    320.06x = 120,818.09
  5. Step 5: Solve for x
    x = 120,818.09/320.06
  6. Step 6: Final answer
    x = 377.49

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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.