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Finding the Fourth Proportional to 208.64, 314.20 and 181.92

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Solution

The fourth proportional to 208.64, 314.20 and 181.92 is: 273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.64 : 314.20 = 181.92 : x
  2. Step 2: Convert to fraction form
    208.64/314.20 = 181.92/x
  3. Step 3: Cross multiply
    208.64x = 314.20 × 181.92
  4. Step 4: Simplify right side
    208.64x = 57,159.26
  5. Step 5: Solve for x
    x = 57,159.26/208.64
  6. Step 6: Final answer
    x = 273.96

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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.