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Finding the Fourth Proportional to 338.24, 507.12 and 216.56

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Solution

The fourth proportional to 338.24, 507.12 and 216.56 is: 324.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.24 : 507.12 = 216.56 : x
  2. Step 2: Convert to fraction form
    338.24/507.12 = 216.56/x
  3. Step 3: Cross multiply
    338.24x = 507.12 × 216.56
  4. Step 4: Simplify right side
    338.24x = 109,821.91
  5. Step 5: Solve for x
    x = 109,821.91/338.24
  6. Step 6: Final answer
    x = 324.69

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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.