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Finding the Fourth Proportional to 177.94, 246.02 and 136.63

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Solution

The fourth proportional to 177.94, 246.02 and 136.63 is: 188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.94 : 246.02 = 136.63 : x
  2. Step 2: Convert to fraction form
    177.94/246.02 = 136.63/x
  3. Step 3: Cross multiply
    177.94x = 246.02 × 136.63
  4. Step 4: Simplify right side
    177.94x = 33,612.88
  5. Step 5: Solve for x
    x = 33,612.88/177.94
  6. Step 6: Final answer
    x = 188.90

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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.