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Finding the Fourth Proportional to 216.08, 322.90 and 207.44

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Solution

The fourth proportional to 216.08, 322.90 and 207.44 is: 309.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.08 : 322.90 = 207.44 : x
  2. Step 2: Convert to fraction form
    216.08/322.90 = 207.44/x
  3. Step 3: Cross multiply
    216.08x = 322.90 × 207.44
  4. Step 4: Simplify right side
    216.08x = 66,982.38
  5. Step 5: Solve for x
    x = 66,982.38/216.08
  6. Step 6: Final answer
    x = 309.99

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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.