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Finding the Fourth Proportional to 320.37, 480.19 and 161.98

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Solution

The fourth proportional to 320.37, 480.19 and 161.98 is: 242.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.37 : 480.19 = 161.98 : x
  2. Step 2: Convert to fraction form
    320.37/480.19 = 161.98/x
  3. Step 3: Cross multiply
    320.37x = 480.19 × 161.98
  4. Step 4: Simplify right side
    320.37x = 77,781.18
  5. Step 5: Solve for x
    x = 77,781.18/320.37
  6. Step 6: Final answer
    x = 242.79

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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.