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Finding the Fourth Proportional to 962.34, 1,443.50 and 231.92

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Solution

The fourth proportional to 962.34, 1,443.50 and 231.92 is: 347.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.34 : 1,443.50 = 231.92 : x
  2. Step 2: Convert to fraction form
    962.34/1,443.50 = 231.92/x
  3. Step 3: Cross multiply
    962.34x = 1,443.50 × 231.92
  4. Step 4: Simplify right side
    962.34x = 334,769.30
  5. Step 5: Solve for x
    x = 334,769.30/962.34
  6. Step 6: Final answer
    x = 347.87

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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.