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Finding the Fourth Proportional to 184.64, 254.84 and 105.96

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Solution

The fourth proportional to 184.64, 254.84 and 105.96 is: 146.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.64 : 254.84 = 105.96 : x
  2. Step 2: Convert to fraction form
    184.64/254.84 = 105.96/x
  3. Step 3: Cross multiply
    184.64x = 254.84 × 105.96
  4. Step 4: Simplify right side
    184.64x = 27,002.71
  5. Step 5: Solve for x
    x = 27,002.71/184.64
  6. Step 6: Final answer
    x = 146.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.