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Finding the Fourth Proportional to 214.39, 323.51 and 206.76

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Solution

The fourth proportional to 214.39, 323.51 and 206.76 is: 312.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.39 : 323.51 = 206.76 : x
  2. Step 2: Convert to fraction form
    214.39/323.51 = 206.76/x
  3. Step 3: Cross multiply
    214.39x = 323.51 × 206.76
  4. Step 4: Simplify right side
    214.39x = 66,888.93
  5. Step 5: Solve for x
    x = 66,888.93/214.39
  6. Step 6: Final answer
    x = 312.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.