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Finding the Fourth Proportional to 321.13, 477.84 and 320.05

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Solution

The fourth proportional to 321.13, 477.84 and 320.05 is: 476.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.13 : 477.84 = 320.05 : x
  2. Step 2: Convert to fraction form
    321.13/477.84 = 320.05/x
  3. Step 3: Cross multiply
    321.13x = 477.84 × 320.05
  4. Step 4: Simplify right side
    321.13x = 152,932.69
  5. Step 5: Solve for x
    x = 152,932.69/321.13
  6. Step 6: Final answer
    x = 476.23

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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.