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Finding the Fourth Proportional to 233.10, 348.96 and 141.52

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Solution

The fourth proportional to 233.10, 348.96 and 141.52 is: 211.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.10 : 348.96 = 141.52 : x
  2. Step 2: Convert to fraction form
    233.10/348.96 = 141.52/x
  3. Step 3: Cross multiply
    233.10x = 348.96 × 141.52
  4. Step 4: Simplify right side
    233.10x = 49,384.82
  5. Step 5: Solve for x
    x = 49,384.82/233.10
  6. Step 6: Final answer
    x = 211.86

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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.