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Finding the Fourth Proportional to 253.18, 379.59 and 123.13

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Solution

The fourth proportional to 253.18, 379.59 and 123.13 is: 184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.18 : 379.59 = 123.13 : x
  2. Step 2: Convert to fraction form
    253.18/379.59 = 123.13/x
  3. Step 3: Cross multiply
    253.18x = 379.59 × 123.13
  4. Step 4: Simplify right side
    253.18x = 46,738.92
  5. Step 5: Solve for x
    x = 46,738.92/253.18
  6. Step 6: Final answer
    x = 184.61

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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.