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Finding the Fourth Proportional to 209.33, 314.00 and 95.25

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Solution

The fourth proportional to 209.33, 314.00 and 95.25 is: 142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.33 : 314.00 = 95.25 : x
  2. Step 2: Convert to fraction form
    209.33/314.00 = 95.25/x
  3. Step 3: Cross multiply
    209.33x = 314.00 × 95.25
  4. Step 4: Simplify right side
    209.33x = 29,908.02
  5. Step 5: Solve for x
    x = 29,908.02/209.33
  6. Step 6: Final answer
    x = 142.88

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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.