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Finding the Fourth Proportional to 194.49, 292.78 and 177.48

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Solution

The fourth proportional to 194.49, 292.78 and 177.48 is: 267.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.49 : 292.78 = 177.48 : x
  2. Step 2: Convert to fraction form
    194.49/292.78 = 177.48/x
  3. Step 3: Cross multiply
    194.49x = 292.78 × 177.48
  4. Step 4: Simplify right side
    194.49x = 51,962.59
  5. Step 5: Solve for x
    x = 51,962.59/194.49
  6. Step 6: Final answer
    x = 267.17

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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.