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Finding the Fourth Proportional to 140.13, 193.33 and 103.23

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Solution

The fourth proportional to 140.13, 193.33 and 103.23 is: 142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.13 : 193.33 = 103.23 : x
  2. Step 2: Convert to fraction form
    140.13/193.33 = 103.23/x
  3. Step 3: Cross multiply
    140.13x = 193.33 × 103.23
  4. Step 4: Simplify right side
    140.13x = 19,956.71
  5. Step 5: Solve for x
    x = 19,956.71/140.13
  6. Step 6: Final answer
    x = 142.41

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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.