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Finding the Fourth Proportional to 192.98, 264.57 and 187.82

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Solution

The fourth proportional to 192.98, 264.57 and 187.82 is: 257.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.98 : 264.57 = 187.82 : x
  2. Step 2: Convert to fraction form
    192.98/264.57 = 187.82/x
  3. Step 3: Cross multiply
    192.98x = 264.57 × 187.82
  4. Step 4: Simplify right side
    192.98x = 49,690.50
  5. Step 5: Solve for x
    x = 49,690.50/192.98
  6. Step 6: Final answer
    x = 257.49

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.