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Finding the Fourth Proportional to 214.31, 319.33 and 206.48

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Solution

The fourth proportional to 214.31, 319.33 and 206.48 is: 307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.31 : 319.33 = 206.48 : x
  2. Step 2: Convert to fraction form
    214.31/319.33 = 206.48/x
  3. Step 3: Cross multiply
    214.31x = 319.33 × 206.48
  4. Step 4: Simplify right side
    214.31x = 65,935.26
  5. Step 5: Solve for x
    x = 65,935.26/214.31
  6. Step 6: Final answer
    x = 307.66

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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.