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Finding the Fourth Proportional to 140.05, 193.08 and 118.18

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Solution

The fourth proportional to 140.05, 193.08 and 118.18 is: 162.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.05 : 193.08 = 118.18 : x
  2. Step 2: Convert to fraction form
    140.05/193.08 = 118.18/x
  3. Step 3: Cross multiply
    140.05x = 193.08 × 118.18
  4. Step 4: Simplify right side
    140.05x = 22,818.19
  5. Step 5: Solve for x
    x = 22,818.19/140.05
  6. Step 6: Final answer
    x = 162.93

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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.