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Finding the Fourth Proportional to 141.90, 195.58 and 114.36

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Solution

The fourth proportional to 141.90, 195.58 and 114.36 is: 157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.90 : 195.58 = 114.36 : x
  2. Step 2: Convert to fraction form
    141.90/195.58 = 114.36/x
  3. Step 3: Cross multiply
    141.90x = 195.58 × 114.36
  4. Step 4: Simplify right side
    141.90x = 22,366.53
  5. Step 5: Solve for x
    x = 22,366.53/141.90
  6. Step 6: Final answer
    x = 157.62

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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.