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Finding the Fourth Proportional to 184.80, 256.44 and 173.28

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Solution

The fourth proportional to 184.80, 256.44 and 173.28 is: 240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.80 : 256.44 = 173.28 : x
  2. Step 2: Convert to fraction form
    184.80/256.44 = 173.28/x
  3. Step 3: Cross multiply
    184.80x = 256.44 × 173.28
  4. Step 4: Simplify right side
    184.80x = 44,435.92
  5. Step 5: Solve for x
    x = 44,435.92/184.80
  6. Step 6: Final answer
    x = 240.45

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.