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Finding the Fourth Proportional to 233.20, 349.56 and 141.88

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Solution

The fourth proportional to 233.20, 349.56 and 141.88 is: 212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.20 : 349.56 = 141.88 : x
  2. Step 2: Convert to fraction form
    233.20/349.56 = 141.88/x
  3. Step 3: Cross multiply
    233.20x = 349.56 × 141.88
  4. Step 4: Simplify right side
    233.20x = 49,595.57
  5. Step 5: Solve for x
    x = 49,595.57/233.20
  6. Step 6: Final answer
    x = 212.67

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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.