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Finding the Fourth Proportional to 208.66, 287.90 and 125.77

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Solution

The fourth proportional to 208.66, 287.90 and 125.77 is: 173.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.66 : 287.90 = 125.77 : x
  2. Step 2: Convert to fraction form
    208.66/287.90 = 125.77/x
  3. Step 3: Cross multiply
    208.66x = 287.90 × 125.77
  4. Step 4: Simplify right side
    208.66x = 36,207.83
  5. Step 5: Solve for x
    x = 36,207.83/208.66
  6. Step 6: Final answer
    x = 173.53

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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.