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Finding the Fourth Proportional to 184.90, 254.85 and 125.84

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Solution

The fourth proportional to 184.90, 254.85 and 125.84 is: 173.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.90 : 254.85 = 125.84 : x
  2. Step 2: Convert to fraction form
    184.90/254.85 = 125.84/x
  3. Step 3: Cross multiply
    184.90x = 254.85 × 125.84
  4. Step 4: Simplify right side
    184.90x = 32,070.32
  5. Step 5: Solve for x
    x = 32,070.32/184.90
  6. Step 6: Final answer
    x = 173.45

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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.