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Finding the Fourth Proportional to 216.35, 322.43 and 216.00

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Solution

The fourth proportional to 216.35, 322.43 and 216.00 is: 321.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.35 : 322.43 = 216.00 : x
  2. Step 2: Convert to fraction form
    216.35/322.43 = 216.00/x
  3. Step 3: Cross multiply
    216.35x = 322.43 × 216.00
  4. Step 4: Simplify right side
    216.35x = 69,645.69
  5. Step 5: Solve for x
    x = 69,645.69/216.35
  6. Step 6: Final answer
    x = 321.92

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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.