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Finding the Fourth Proportional to 184.68, 254.61 and 135.45

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Solution

The fourth proportional to 184.68, 254.61 and 135.45 is: 186.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.68 : 254.61 = 135.45 : x
  2. Step 2: Convert to fraction form
    184.68/254.61 = 135.45/x
  3. Step 3: Cross multiply
    184.68x = 254.61 × 135.45
  4. Step 4: Simplify right side
    184.68x = 34,486.92
  5. Step 5: Solve for x
    x = 34,486.92/184.68
  6. Step 6: Final answer
    x = 186.74

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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.