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Finding the Fourth Proportional to 218.23, 325.85 and 192.34

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Solution

The fourth proportional to 218.23, 325.85 and 192.34 is: 287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.23 : 325.85 = 192.34 : x
  2. Step 2: Convert to fraction form
    218.23/325.85 = 192.34/x
  3. Step 3: Cross multiply
    218.23x = 325.85 × 192.34
  4. Step 4: Simplify right side
    218.23x = 62,673.43
  5. Step 5: Solve for x
    x = 62,673.43/218.23
  6. Step 6: Final answer
    x = 287.19

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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.