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Finding the Fourth Proportional to 184.51, 254.63 and 101.61

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Solution

The fourth proportional to 184.51, 254.63 and 101.61 is: 140.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.51 : 254.63 = 101.61 : x
  2. Step 2: Convert to fraction form
    184.51/254.63 = 101.61/x
  3. Step 3: Cross multiply
    184.51x = 254.63 × 101.61
  4. Step 4: Simplify right side
    184.51x = 25,873.21
  5. Step 5: Solve for x
    x = 25,873.21/184.51
  6. Step 6: Final answer
    x = 140.23

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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.