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Finding the Fourth Proportional to 233.95, 322.83 and 140.69

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Solution

The fourth proportional to 233.95, 322.83 and 140.69 is: 194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.95 : 322.83 = 140.69 : x
  2. Step 2: Convert to fraction form
    233.95/322.83 = 140.69/x
  3. Step 3: Cross multiply
    233.95x = 322.83 × 140.69
  4. Step 4: Simplify right side
    233.95x = 45,418.25
  5. Step 5: Solve for x
    x = 45,418.25/233.95
  6. Step 6: Final answer
    x = 194.14

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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.