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Finding the Fourth Proportional to 140.43, 193.63 and 110.93

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Solution

The fourth proportional to 140.43, 193.63 and 110.93 is: 152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.43 : 193.63 = 110.93 : x
  2. Step 2: Convert to fraction form
    140.43/193.63 = 110.93/x
  3. Step 3: Cross multiply
    140.43x = 193.63 × 110.93
  4. Step 4: Simplify right side
    140.43x = 21,478.82
  5. Step 5: Solve for x
    x = 21,478.82/140.43
  6. Step 6: Final answer
    x = 152.95

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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.