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Finding the Fourth Proportional to 192.66, 264.93 and 186.90

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Solution

The fourth proportional to 192.66, 264.93 and 186.90 is: 257.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.66 : 264.93 = 186.90 : x
  2. Step 2: Convert to fraction form
    192.66/264.93 = 186.90/x
  3. Step 3: Cross multiply
    192.66x = 264.93 × 186.90
  4. Step 4: Simplify right side
    192.66x = 49,515.42
  5. Step 5: Solve for x
    x = 49,515.42/192.66
  6. Step 6: Final answer
    x = 257.01

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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.