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Finding the Fourth Proportional to 214.24, 319.15 and 207.79

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Solution

The fourth proportional to 214.24, 319.15 and 207.79 is: 309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.24 : 319.15 = 207.79 : x
  2. Step 2: Convert to fraction form
    214.24/319.15 = 207.79/x
  3. Step 3: Cross multiply
    214.24x = 319.15 × 207.79
  4. Step 4: Simplify right side
    214.24x = 66,314.58
  5. Step 5: Solve for x
    x = 66,314.58/214.24
  6. Step 6: Final answer
    x = 309.53

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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.