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Finding the Fourth Proportional to 208.74, 287.85 and 185.46

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Solution

The fourth proportional to 208.74, 287.85 and 185.46 is: 255.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.74 : 287.85 = 185.46 : x
  2. Step 2: Convert to fraction form
    208.74/287.85 = 185.46/x
  3. Step 3: Cross multiply
    208.74x = 287.85 × 185.46
  4. Step 4: Simplify right side
    208.74x = 53,384.66
  5. Step 5: Solve for x
    x = 53,384.66/208.74
  6. Step 6: Final answer
    x = 255.75

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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.