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Finding the Fourth Proportional to 233.68, 350.68 and 111.98

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Solution

The fourth proportional to 233.68, 350.68 and 111.98 is: 168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.68 : 350.68 = 111.98 : x
  2. Step 2: Convert to fraction form
    233.68/350.68 = 111.98/x
  3. Step 3: Cross multiply
    233.68x = 350.68 × 111.98
  4. Step 4: Simplify right side
    233.68x = 39,269.15
  5. Step 5: Solve for x
    x = 39,269.15/233.68
  6. Step 6: Final answer
    x = 168.05

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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.