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Finding the Fourth Proportional to 321.76, 480.47 and 264.10

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Solution

The fourth proportional to 321.76, 480.47 and 264.10 is: 394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.76 : 480.47 = 264.10 : x
  2. Step 2: Convert to fraction form
    321.76/480.47 = 264.10/x
  3. Step 3: Cross multiply
    321.76x = 480.47 × 264.10
  4. Step 4: Simplify right side
    321.76x = 126,892.13
  5. Step 5: Solve for x
    x = 126,892.13/321.76
  6. Step 6: Final answer
    x = 394.37

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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.