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Finding the Fourth Proportional to 168.02, 231.90 and 140.35

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Solution

The fourth proportional to 168.02, 231.90 and 140.35 is: 193.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.02 : 231.90 = 140.35 : x
  2. Step 2: Convert to fraction form
    168.02/231.90 = 140.35/x
  3. Step 3: Cross multiply
    168.02x = 231.90 × 140.35
  4. Step 4: Simplify right side
    168.02x = 32,547.17
  5. Step 5: Solve for x
    x = 32,547.17/168.02
  6. Step 6: Final answer
    x = 193.71

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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.