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Finding the Fourth Proportional to 338.00, 507.32 and 216.33

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Solution

The fourth proportional to 338.00, 507.32 and 216.33 is: 324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.00 : 507.32 = 216.33 : x
  2. Step 2: Convert to fraction form
    338.00/507.32 = 216.33/x
  3. Step 3: Cross multiply
    338.00x = 507.32 × 216.33
  4. Step 4: Simplify right side
    338.00x = 109,747.45
  5. Step 5: Solve for x
    x = 109,747.45/338.00
  6. Step 6: Final answer
    x = 324.70

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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.