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Finding the Fourth Proportional to 233.81, 350.45 and 118.34

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Solution

The fourth proportional to 233.81, 350.45 and 118.34 is: 177.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.81 : 350.45 = 118.34 : x
  2. Step 2: Convert to fraction form
    233.81/350.45 = 118.34/x
  3. Step 3: Cross multiply
    233.81x = 350.45 × 118.34
  4. Step 4: Simplify right side
    233.81x = 41,472.25
  5. Step 5: Solve for x
    x = 41,472.25/233.81
  6. Step 6: Final answer
    x = 177.38

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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.