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Finding the Fourth Proportional to 214.28, 319.84 and 212.48

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Solution

The fourth proportional to 214.28, 319.84 and 212.48 is: 317.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.28 : 319.84 = 212.48 : x
  2. Step 2: Convert to fraction form
    214.28/319.84 = 212.48/x
  3. Step 3: Cross multiply
    214.28x = 319.84 × 212.48
  4. Step 4: Simplify right side
    214.28x = 67,959.60
  5. Step 5: Solve for x
    x = 67,959.60/214.28
  6. Step 6: Final answer
    x = 317.15

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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.