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Finding the Fourth Proportional to 233.10, 348.90 and 178.44

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Solution

The fourth proportional to 233.10, 348.90 and 178.44 is: 267.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.10 : 348.90 = 178.44 : x
  2. Step 2: Convert to fraction form
    233.10/348.90 = 178.44/x
  3. Step 3: Cross multiply
    233.10x = 348.90 × 178.44
  4. Step 4: Simplify right side
    233.10x = 62,257.72
  5. Step 5: Solve for x
    x = 62,257.72/233.10
  6. Step 6: Final answer
    x = 267.09

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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.