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Finding the Fourth Proportional to 250.48, 377.25 and 212.23

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Solution

The fourth proportional to 250.48, 377.25 and 212.23 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.48 : 377.25 = 212.23 : x
  2. Step 2: Convert to fraction form
    250.48/377.25 = 212.23/x
  3. Step 3: Cross multiply
    250.48x = 377.25 × 212.23
  4. Step 4: Simplify right side
    250.48x = 80,062.71
  5. Step 5: Solve for x
    x = 80,062.71/250.48
  6. Step 6: Final answer
    x = 319.64

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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.