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Finding the Fourth Proportional to 216.38, 322.36 and 206.06

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Solution

The fourth proportional to 216.38, 322.36 and 206.06 is: 306.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.38 : 322.36 = 206.06 : x
  2. Step 2: Convert to fraction form
    216.38/322.36 = 206.06/x
  3. Step 3: Cross multiply
    216.38x = 322.36 × 206.06
  4. Step 4: Simplify right side
    216.38x = 66,425.50
  5. Step 5: Solve for x
    x = 66,425.50/216.38
  6. Step 6: Final answer
    x = 306.99

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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.