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Finding the Fourth Proportional to 209.06, 313.28 and 117.78

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Solution

The fourth proportional to 209.06, 313.28 and 117.78 is: 176.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.06 : 313.28 = 117.78 : x
  2. Step 2: Convert to fraction form
    209.06/313.28 = 117.78/x
  3. Step 3: Cross multiply
    209.06x = 313.28 × 117.78
  4. Step 4: Simplify right side
    209.06x = 36,898.12
  5. Step 5: Solve for x
    x = 36,898.12/209.06
  6. Step 6: Final answer
    x = 176.50

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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.