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Finding the Fourth Proportional to 214.72, 319.31 and 207.88

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Solution

The fourth proportional to 214.72, 319.31 and 207.88 is: 309.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.72 : 319.31 = 207.88 : x
  2. Step 2: Convert to fraction form
    214.72/319.31 = 207.88/x
  3. Step 3: Cross multiply
    214.72x = 319.31 × 207.88
  4. Step 4: Simplify right side
    214.72x = 66,378.16
  5. Step 5: Solve for x
    x = 66,378.16/214.72
  6. Step 6: Final answer
    x = 309.15

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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.