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Finding the Fourth Proportional to 209.70, 315.70 and 185.46

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Solution

The fourth proportional to 209.70, 315.70 and 185.46 is: 279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.70 : 315.70 = 185.46 : x
  2. Step 2: Convert to fraction form
    209.70/315.70 = 185.46/x
  3. Step 3: Cross multiply
    209.70x = 315.70 × 185.46
  4. Step 4: Simplify right side
    209.70x = 58,549.72
  5. Step 5: Solve for x
    x = 58,549.72/209.70
  6. Step 6: Final answer
    x = 279.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.