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Finding the Fourth Proportional to 209.56, 313.86 and 174.70

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Solution

The fourth proportional to 209.56, 313.86 and 174.70 is: 261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.56 : 313.86 = 174.70 : x
  2. Step 2: Convert to fraction form
    209.56/313.86 = 174.70/x
  3. Step 3: Cross multiply
    209.56x = 313.86 × 174.70
  4. Step 4: Simplify right side
    209.56x = 54,831.34
  5. Step 5: Solve for x
    x = 54,831.34/209.56
  6. Step 6: Final answer
    x = 261.65

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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.