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Finding the Fourth Proportional to 253.96, 381.02 and 83.08

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Solution

The fourth proportional to 253.96, 381.02 and 83.08 is: 124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.96 : 381.02 = 83.08 : x
  2. Step 2: Convert to fraction form
    253.96/381.02 = 83.08/x
  3. Step 3: Cross multiply
    253.96x = 381.02 × 83.08
  4. Step 4: Simplify right side
    253.96x = 31,655.14
  5. Step 5: Solve for x
    x = 31,655.14/253.96
  6. Step 6: Final answer
    x = 124.65

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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.