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Finding the Fourth Proportional to 191.88, 264.96 and 142.98

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Solution

The fourth proportional to 191.88, 264.96 and 142.98 is: 197.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.88 : 264.96 = 142.98 : x
  2. Step 2: Convert to fraction form
    191.88/264.96 = 142.98/x
  3. Step 3: Cross multiply
    191.88x = 264.96 × 142.98
  4. Step 4: Simplify right side
    191.88x = 37,882.99
  5. Step 5: Solve for x
    x = 37,882.99/191.88
  6. Step 6: Final answer
    x = 197.43

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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.