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Finding the Fourth Proportional to 216.88, 322.91 and 215.80

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Solution

The fourth proportional to 216.88, 322.91 and 215.80 is: 321.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.88 : 322.91 = 215.80 : x
  2. Step 2: Convert to fraction form
    216.88/322.91 = 215.80/x
  3. Step 3: Cross multiply
    216.88x = 322.91 × 215.80
  4. Step 4: Simplify right side
    216.88x = 69,683.98
  5. Step 5: Solve for x
    x = 69,683.98/216.88
  6. Step 6: Final answer
    x = 321.30

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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.