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Finding the Fourth Proportional to 209.74, 314.48 and 160.35

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Solution

The fourth proportional to 209.74, 314.48 and 160.35 is: 240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.74 : 314.48 = 160.35 : x
  2. Step 2: Convert to fraction form
    209.74/314.48 = 160.35/x
  3. Step 3: Cross multiply
    209.74x = 314.48 × 160.35
  4. Step 4: Simplify right side
    209.74x = 50,426.87
  5. Step 5: Solve for x
    x = 50,426.87/209.74
  6. Step 6: Final answer
    x = 240.43

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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.