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Finding the Fourth Proportional to 209.29, 312.74 and 159.61

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Solution

The fourth proportional to 209.29, 312.74 and 159.61 is: 238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.29 : 312.74 = 159.61 : x
  2. Step 2: Convert to fraction form
    209.29/312.74 = 159.61/x
  3. Step 3: Cross multiply
    209.29x = 312.74 × 159.61
  4. Step 4: Simplify right side
    209.29x = 49,915.16
  5. Step 5: Solve for x
    x = 49,915.16/209.29
  6. Step 6: Final answer
    x = 238.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.