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Finding the Fourth Proportional to 209.53, 313.90 and 117.95

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Solution

The fourth proportional to 209.53, 313.90 and 117.95 is: 176.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.53 : 313.90 = 117.95 : x
  2. Step 2: Convert to fraction form
    209.53/313.90 = 117.95/x
  3. Step 3: Cross multiply
    209.53x = 313.90 × 117.95
  4. Step 4: Simplify right side
    209.53x = 37,023.92
  5. Step 5: Solve for x
    x = 37,023.92/209.53
  6. Step 6: Final answer
    x = 176.70

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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.