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Finding the Fourth Proportional to 254.16, 382.99 and 209.51

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Solution

The fourth proportional to 254.16, 382.99 and 209.51 is: 315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.16 : 382.99 = 209.51 : x
  2. Step 2: Convert to fraction form
    254.16/382.99 = 209.51/x
  3. Step 3: Cross multiply
    254.16x = 382.99 × 209.51
  4. Step 4: Simplify right side
    254.16x = 80,241.00
  5. Step 5: Solve for x
    x = 80,241.00/254.16
  6. Step 6: Final answer
    x = 315.71

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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.