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Finding the Fourth Proportional to 253.00, 379.31 and 106.74

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Solution

The fourth proportional to 253.00, 379.31 and 106.74 is: 160.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.00 : 379.31 = 106.74 : x
  2. Step 2: Convert to fraction form
    253.00/379.31 = 106.74/x
  3. Step 3: Cross multiply
    253.00x = 379.31 × 106.74
  4. Step 4: Simplify right side
    253.00x = 40,487.28
  5. Step 5: Solve for x
    x = 40,487.28/253.00
  6. Step 6: Final answer
    x = 160.03

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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.