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Finding the Fourth Proportional to 209.05, 312.99 and 117.42

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Solution

The fourth proportional to 209.05, 312.99 and 117.42 is: 175.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.05 : 312.99 = 117.42 : x
  2. Step 2: Convert to fraction form
    209.05/312.99 = 117.42/x
  3. Step 3: Cross multiply
    209.05x = 312.99 × 117.42
  4. Step 4: Simplify right side
    209.05x = 36,751.29
  5. Step 5: Solve for x
    x = 36,751.29/209.05
  6. Step 6: Final answer
    x = 175.80

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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.