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Finding the Fourth Proportional to 233.84, 350.72 and 142.58

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Solution

The fourth proportional to 233.84, 350.72 and 142.58 is: 213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.84 : 350.72 = 142.58 : x
  2. Step 2: Convert to fraction form
    233.84/350.72 = 142.58/x
  3. Step 3: Cross multiply
    233.84x = 350.72 × 142.58
  4. Step 4: Simplify right side
    233.84x = 50,005.66
  5. Step 5: Solve for x
    x = 50,005.66/233.84
  6. Step 6: Final answer
    x = 213.85

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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.