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Finding the Fourth Proportional to 208.76, 312.74 and 160.60

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Solution

The fourth proportional to 208.76, 312.74 and 160.60 is: 240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.76 : 312.74 = 160.60 : x
  2. Step 2: Convert to fraction form
    208.76/312.74 = 160.60/x
  3. Step 3: Cross multiply
    208.76x = 312.74 × 160.60
  4. Step 4: Simplify right side
    208.76x = 50,226.04
  5. Step 5: Solve for x
    x = 50,226.04/208.76
  6. Step 6: Final answer
    x = 240.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.