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Finding the Fourth Proportional to 193.86, 292.28 and 180.64

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Solution

The fourth proportional to 193.86, 292.28 and 180.64 is: 272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.86 : 292.28 = 180.64 : x
  2. Step 2: Convert to fraction form
    193.86/292.28 = 180.64/x
  3. Step 3: Cross multiply
    193.86x = 292.28 × 180.64
  4. Step 4: Simplify right side
    193.86x = 52,796.92
  5. Step 5: Solve for x
    x = 52,796.92/193.86
  6. Step 6: Final answer
    x = 272.35

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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.