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Finding the Fourth Proportional to 318.99, 478.15 and 216.27

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Solution

The fourth proportional to 318.99, 478.15 and 216.27 is: 324.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.99 : 478.15 = 216.27 : x
  2. Step 2: Convert to fraction form
    318.99/478.15 = 216.27/x
  3. Step 3: Cross multiply
    318.99x = 478.15 × 216.27
  4. Step 4: Simplify right side
    318.99x = 103,410.18
  5. Step 5: Solve for x
    x = 103,410.18/318.99
  6. Step 6: Final answer
    x = 324.18

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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.