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Finding the Fourth Proportional to 140.12, 193.32 and 90.98

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Solution

The fourth proportional to 140.12, 193.32 and 90.98 is: 125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.12 : 193.32 = 90.98 : x
  2. Step 2: Convert to fraction form
    140.12/193.32 = 90.98/x
  3. Step 3: Cross multiply
    140.12x = 193.32 × 90.98
  4. Step 4: Simplify right side
    140.12x = 17,589.10
  5. Step 5: Solve for x
    x = 17,589.10/140.12
  6. Step 6: Final answer
    x = 125.52

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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.