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Finding the Fourth Proportional to 140.42, 193.56 and 112.70

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Solution

The fourth proportional to 140.42, 193.56 and 112.70 is: 155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.42 : 193.56 = 112.70 : x
  2. Step 2: Convert to fraction form
    140.42/193.56 = 112.70/x
  3. Step 3: Cross multiply
    140.42x = 193.56 × 112.70
  4. Step 4: Simplify right side
    140.42x = 21,814.21
  5. Step 5: Solve for x
    x = 21,814.21/140.42
  6. Step 6: Final answer
    x = 155.35

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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.