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Finding the Fourth Proportional to 331.70, 463.30 and 331.70

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Solution

The fourth proportional to 331.70, 463.30 and 331.70 is: 463.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.70 : 463.30 = 331.70 : x
  2. Step 2: Convert to fraction form
    331.70/463.30 = 331.70/x
  3. Step 3: Cross multiply
    331.70x = 463.30 × 331.70
  4. Step 4: Simplify right side
    331.70x = 153,676.61
  5. Step 5: Solve for x
    x = 153,676.61/331.70
  6. Step 6: Final answer
    x = 463.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.