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Finding the Fourth Proportional to 262.58, 361.62 and 188.77

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Solution

The fourth proportional to 262.58, 361.62 and 188.77 is: 259.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.58 : 361.62 = 188.77 : x
  2. Step 2: Convert to fraction form
    262.58/361.62 = 188.77/x
  3. Step 3: Cross multiply
    262.58x = 361.62 × 188.77
  4. Step 4: Simplify right side
    262.58x = 68,263.01
  5. Step 5: Solve for x
    x = 68,263.01/262.58
  6. Step 6: Final answer
    x = 259.97

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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.