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Finding the Fourth Proportional to 214.40, 319.40 and 206.66

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Solution

The fourth proportional to 214.40, 319.40 and 206.66 is: 307.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.40 : 319.40 = 206.66 : x
  2. Step 2: Convert to fraction form
    214.40/319.40 = 206.66/x
  3. Step 3: Cross multiply
    214.40x = 319.40 × 206.66
  4. Step 4: Simplify right side
    214.40x = 66,007.20
  5. Step 5: Solve for x
    x = 66,007.20/214.40
  6. Step 6: Final answer
    x = 307.87

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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.