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Finding the Fourth Proportional to 322.99, 481.34 and 316.05

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Solution

The fourth proportional to 322.99, 481.34 and 316.05 is: 471.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.99 : 481.34 = 316.05 : x
  2. Step 2: Convert to fraction form
    322.99/481.34 = 316.05/x
  3. Step 3: Cross multiply
    322.99x = 481.34 × 316.05
  4. Step 4: Simplify right side
    322.99x = 152,129.20
  5. Step 5: Solve for x
    x = 152,129.20/322.99
  6. Step 6: Final answer
    x = 471.01

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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.