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Finding the Fourth Proportional to 209.60, 314.38 and 94.05

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Solution

The fourth proportional to 209.60, 314.38 and 94.05 is: 141.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.60 : 314.38 = 94.05 : x
  2. Step 2: Convert to fraction form
    209.60/314.38 = 94.05/x
  3. Step 3: Cross multiply
    209.60x = 314.38 × 94.05
  4. Step 4: Simplify right side
    209.60x = 29,566.97
  5. Step 5: Solve for x
    x = 29,566.97/209.60
  6. Step 6: Final answer
    x = 141.07

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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.