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Finding the Fourth Proportional to 216.36, 322.86 and 193.28

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Solution

The fourth proportional to 216.36, 322.86 and 193.28 is: 288.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.36 : 322.86 = 193.28 : x
  2. Step 2: Convert to fraction form
    216.36/322.86 = 193.28/x
  3. Step 3: Cross multiply
    216.36x = 322.86 × 193.28
  4. Step 4: Simplify right side
    216.36x = 62,402.38
  5. Step 5: Solve for x
    x = 62,402.38/216.36
  6. Step 6: Final answer
    x = 288.42

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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.