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Finding the Fourth Proportional to 193.15, 289.42 and 101.71

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Solution

The fourth proportional to 193.15, 289.42 and 101.71 is: 152.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.15 : 289.42 = 101.71 : x
  2. Step 2: Convert to fraction form
    193.15/289.42 = 101.71/x
  3. Step 3: Cross multiply
    193.15x = 289.42 × 101.71
  4. Step 4: Simplify right side
    193.15x = 29,436.91
  5. Step 5: Solve for x
    x = 29,436.91/193.15
  6. Step 6: Final answer
    x = 152.40

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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.