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Finding the Fourth Proportional to 266.05, 366.77 and 187.12

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Solution

The fourth proportional to 266.05, 366.77 and 187.12 is: 257.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.05 : 366.77 = 187.12 : x
  2. Step 2: Convert to fraction form
    266.05/366.77 = 187.12/x
  3. Step 3: Cross multiply
    266.05x = 366.77 × 187.12
  4. Step 4: Simplify right side
    266.05x = 68,630.00
  5. Step 5: Solve for x
    x = 68,630.00/266.05
  6. Step 6: Final answer
    x = 257.96

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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.