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Finding the Fourth Proportional to 214.02, 319.53 and 212.49

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Solution

The fourth proportional to 214.02, 319.53 and 212.49 is: 317.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.02 : 319.53 = 212.49 : x
  2. Step 2: Convert to fraction form
    214.02/319.53 = 212.49/x
  3. Step 3: Cross multiply
    214.02x = 319.53 × 212.49
  4. Step 4: Simplify right side
    214.02x = 67,896.93
  5. Step 5: Solve for x
    x = 67,896.93/214.02
  6. Step 6: Final answer
    x = 317.25

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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.