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Finding the Fourth Proportional to 233.74, 351.84 and 165.75

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Solution

The fourth proportional to 233.74, 351.84 and 165.75 is: 249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.74 : 351.84 = 165.75 : x
  2. Step 2: Convert to fraction form
    233.74/351.84 = 165.75/x
  3. Step 3: Cross multiply
    233.74x = 351.84 × 165.75
  4. Step 4: Simplify right side
    233.74x = 58,316.78
  5. Step 5: Solve for x
    x = 58,316.78/233.74
  6. Step 6: Final answer
    x = 249.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.