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Finding the Fourth Proportional to 191.71, 264.09 and 142.57

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Solution

The fourth proportional to 191.71, 264.09 and 142.57 is: 196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.71 : 264.09 = 142.57 : x
  2. Step 2: Convert to fraction form
    191.71/264.09 = 142.57/x
  3. Step 3: Cross multiply
    191.71x = 264.09 × 142.57
  4. Step 4: Simplify right side
    191.71x = 37,651.31
  5. Step 5: Solve for x
    x = 37,651.31/191.71
  6. Step 6: Final answer
    x = 196.40

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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.