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Finding the Fourth Proportional to 262.46, 361.78 and 188.66

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Solution

The fourth proportional to 262.46, 361.78 and 188.66 is: 260.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.46 : 361.78 = 188.66 : x
  2. Step 2: Convert to fraction form
    262.46/361.78 = 188.66/x
  3. Step 3: Cross multiply
    262.46x = 361.78 × 188.66
  4. Step 4: Simplify right side
    262.46x = 68,253.41
  5. Step 5: Solve for x
    x = 68,253.41/262.46
  6. Step 6: Final answer
    x = 260.05

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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.