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Finding the Fourth Proportional to 184.95, 277.38 and 76.64

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Solution

The fourth proportional to 184.95, 277.38 and 76.64 is: 114.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.95 : 277.38 = 76.64 : x
  2. Step 2: Convert to fraction form
    184.95/277.38 = 76.64/x
  3. Step 3: Cross multiply
    184.95x = 277.38 × 76.64
  4. Step 4: Simplify right side
    184.95x = 21,257.02
  5. Step 5: Solve for x
    x = 21,257.02/184.95
  6. Step 6: Final answer
    x = 114.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.