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Finding the Fourth Proportional to 193.10, 289.08 and 124.42

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Solution

The fourth proportional to 193.10, 289.08 and 124.42 is: 186.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.10 : 289.08 = 124.42 : x
  2. Step 2: Convert to fraction form
    193.10/289.08 = 124.42/x
  3. Step 3: Cross multiply
    193.10x = 289.08 × 124.42
  4. Step 4: Simplify right side
    193.10x = 35,966.71
  5. Step 5: Solve for x
    x = 35,966.71/193.10
  6. Step 6: Final answer
    x = 186.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.