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Finding the Fourth Proportional to 212.92, 320.62 and 186.19

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Solution

The fourth proportional to 212.92, 320.62 and 186.19 is: 280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.92 : 320.62 = 186.19 : x
  2. Step 2: Convert to fraction form
    212.92/320.62 = 186.19/x
  3. Step 3: Cross multiply
    212.92x = 320.62 × 186.19
  4. Step 4: Simplify right side
    212.92x = 59,696.24
  5. Step 5: Solve for x
    x = 59,696.24/212.92
  6. Step 6: Final answer
    x = 280.37

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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.