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Finding the Fourth Proportional to 216.62, 322.60 and 207.26

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Solution

The fourth proportional to 216.62, 322.60 and 207.26 is: 308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.62 : 322.60 = 207.26 : x
  2. Step 2: Convert to fraction form
    216.62/322.60 = 207.26/x
  3. Step 3: Cross multiply
    216.62x = 322.60 × 207.26
  4. Step 4: Simplify right side
    216.62x = 66,862.08
  5. Step 5: Solve for x
    x = 66,862.08/216.62
  6. Step 6: Final answer
    x = 308.66

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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.