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Finding the Fourth Proportional to 184.32, 277.76 and 177.60

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Solution

The fourth proportional to 184.32, 277.76 and 177.60 is: 267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.32 : 277.76 = 177.60 : x
  2. Step 2: Convert to fraction form
    184.32/277.76 = 177.60/x
  3. Step 3: Cross multiply
    184.32x = 277.76 × 177.60
  4. Step 4: Simplify right side
    184.32x = 49,330.18
  5. Step 5: Solve for x
    x = 49,330.18/184.32
  6. Step 6: Final answer
    x = 267.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.