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Finding the Fourth Proportional to 208.46, 314.24 and 172.82

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Solution

The fourth proportional to 208.46, 314.24 and 172.82 is: 260.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.46 : 314.24 = 172.82 : x
  2. Step 2: Convert to fraction form
    208.46/314.24 = 172.82/x
  3. Step 3: Cross multiply
    208.46x = 314.24 × 172.82
  4. Step 4: Simplify right side
    208.46x = 54,306.96
  5. Step 5: Solve for x
    x = 54,306.96/208.46
  6. Step 6: Final answer
    x = 260.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.