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Finding the Fourth Proportional to 216.56, 322.84 and 199.28

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Solution

The fourth proportional to 216.56, 322.84 and 199.28 is: 297.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.56 : 322.84 = 199.28 : x
  2. Step 2: Convert to fraction form
    216.56/322.84 = 199.28/x
  3. Step 3: Cross multiply
    216.56x = 322.84 × 199.28
  4. Step 4: Simplify right side
    216.56x = 64,335.56
  5. Step 5: Solve for x
    x = 64,335.56/216.56
  6. Step 6: Final answer
    x = 297.08

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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.