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Finding the Fourth Proportional to 243.32, 333.34 and 234.07

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Solution

The fourth proportional to 243.32, 333.34 and 234.07 is: 320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.32 : 333.34 = 234.07 : x
  2. Step 2: Convert to fraction form
    243.32/333.34 = 234.07/x
  3. Step 3: Cross multiply
    243.32x = 333.34 × 234.07
  4. Step 4: Simplify right side
    243.32x = 78,023.48
  5. Step 5: Solve for x
    x = 78,023.48/243.32
  6. Step 6: Final answer
    x = 320.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.