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Finding the Fourth Proportional to 193.66, 289.32 and 124.62

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Solution

The fourth proportional to 193.66, 289.32 and 124.62 is: 186.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.66 : 289.32 = 124.62 : x
  2. Step 2: Convert to fraction form
    193.66/289.32 = 124.62/x
  3. Step 3: Cross multiply
    193.66x = 289.32 × 124.62
  4. Step 4: Simplify right side
    193.66x = 36,055.06
  5. Step 5: Solve for x
    x = 36,055.06/193.66
  6. Step 6: Final answer
    x = 186.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.