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Finding the Fourth Proportional to 209.78, 314.80 and 174.14

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Solution

The fourth proportional to 209.78, 314.80 and 174.14 is: 261.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.78 : 314.80 = 174.14 : x
  2. Step 2: Convert to fraction form
    209.78/314.80 = 174.14/x
  3. Step 3: Cross multiply
    209.78x = 314.80 × 174.14
  4. Step 4: Simplify right side
    209.78x = 54,819.27
  5. Step 5: Solve for x
    x = 54,819.27/209.78
  6. Step 6: Final answer
    x = 261.32

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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.