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Finding the Fourth Proportional to 214.52, 319.25 and 206.84

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Solution

The fourth proportional to 214.52, 319.25 and 206.84 is: 307.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.52 : 319.25 = 206.84 : x
  2. Step 2: Convert to fraction form
    214.52/319.25 = 206.84/x
  3. Step 3: Cross multiply
    214.52x = 319.25 × 206.84
  4. Step 4: Simplify right side
    214.52x = 66,033.67
  5. Step 5: Solve for x
    x = 66,033.67/214.52
  6. Step 6: Final answer
    x = 307.82

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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.