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Finding the Fourth Proportional to 253.79, 380.41 and 123.71

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Solution

The fourth proportional to 253.79, 380.41 and 123.71 is: 185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.79 : 380.41 = 123.71 : x
  2. Step 2: Convert to fraction form
    253.79/380.41 = 123.71/x
  3. Step 3: Cross multiply
    253.79x = 380.41 × 123.71
  4. Step 4: Simplify right side
    253.79x = 47,060.52
  5. Step 5: Solve for x
    x = 47,060.52/253.79
  6. Step 6: Final answer
    x = 185.43

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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.