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Finding the Fourth Proportional to 212.43, 316.92 and 202.65

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Solution

The fourth proportional to 212.43, 316.92 and 202.65 is: 302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.43 : 316.92 = 202.65 : x
  2. Step 2: Convert to fraction form
    212.43/316.92 = 202.65/x
  3. Step 3: Cross multiply
    212.43x = 316.92 × 202.65
  4. Step 4: Simplify right side
    212.43x = 64,223.84
  5. Step 5: Solve for x
    x = 64,223.84/212.43
  6. Step 6: Final answer
    x = 302.33

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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.