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Finding the Fourth Proportional to 233.08, 350.43 and 187.75

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Solution

The fourth proportional to 233.08, 350.43 and 187.75 is: 282.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.08 : 350.43 = 187.75 : x
  2. Step 2: Convert to fraction form
    233.08/350.43 = 187.75/x
  3. Step 3: Cross multiply
    233.08x = 350.43 × 187.75
  4. Step 4: Simplify right side
    233.08x = 65,793.23
  5. Step 5: Solve for x
    x = 65,793.23/233.08
  6. Step 6: Final answer
    x = 282.28

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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.