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Finding the Fourth Proportional to 322.34, 485.40 and 231.67

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Solution

The fourth proportional to 322.34, 485.40 and 231.67 is: 348.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.34 : 485.40 = 231.67 : x
  2. Step 2: Convert to fraction form
    322.34/485.40 = 231.67/x
  3. Step 3: Cross multiply
    322.34x = 485.40 × 231.67
  4. Step 4: Simplify right side
    322.34x = 112,454.09
  5. Step 5: Solve for x
    x = 112,454.09/322.34
  6. Step 6: Final answer
    x = 348.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.