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Finding the Fourth Proportional to 216.38, 323.98 and 202.34

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Solution

The fourth proportional to 216.38, 323.98 and 202.34 is: 302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.38 : 323.98 = 202.34 : x
  2. Step 2: Convert to fraction form
    216.38/323.98 = 202.34/x
  3. Step 3: Cross multiply
    216.38x = 323.98 × 202.34
  4. Step 4: Simplify right side
    216.38x = 65,554.11
  5. Step 5: Solve for x
    x = 65,554.11/216.38
  6. Step 6: Final answer
    x = 302.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.