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Finding the Fourth Proportional to 321.77, 480.12 and 302.17

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Solution

The fourth proportional to 321.77, 480.12 and 302.17 is: 450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.77 : 480.12 = 302.17 : x
  2. Step 2: Convert to fraction form
    321.77/480.12 = 302.17/x
  3. Step 3: Cross multiply
    321.77x = 480.12 × 302.17
  4. Step 4: Simplify right side
    321.77x = 145,076.35
  5. Step 5: Solve for x
    x = 145,076.35/321.77
  6. Step 6: Final answer
    x = 450.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.