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Finding the Fourth Proportional to 233.95, 323.09 and 192.91

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Solution

The fourth proportional to 233.95, 323.09 and 192.91 is: 266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.95 : 323.09 = 192.91 : x
  2. Step 2: Convert to fraction form
    233.95/323.09 = 192.91/x
  3. Step 3: Cross multiply
    233.95x = 323.09 × 192.91
  4. Step 4: Simplify right side
    233.95x = 62,327.29
  5. Step 5: Solve for x
    x = 62,327.29/233.95
  6. Step 6: Final answer
    x = 266.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.