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Finding the Fourth Proportional to 206.68, 310.06 and 78.36

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Solution

The fourth proportional to 206.68, 310.06 and 78.36 is: 117.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.68 : 310.06 = 78.36 : x
  2. Step 2: Convert to fraction form
    206.68/310.06 = 78.36/x
  3. Step 3: Cross multiply
    206.68x = 310.06 × 78.36
  4. Step 4: Simplify right side
    206.68x = 24,296.30
  5. Step 5: Solve for x
    x = 24,296.30/206.68
  6. Step 6: Final answer
    x = 117.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.