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Finding the Fourth Proportional to 310.36, 427.62 and 206.68

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Solution

The fourth proportional to 310.36, 427.62 and 206.68 is: 284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.36 : 427.62 = 206.68 : x
  2. Step 2: Convert to fraction form
    310.36/427.62 = 206.68/x
  3. Step 3: Cross multiply
    310.36x = 427.62 × 206.68
  4. Step 4: Simplify right side
    310.36x = 88,380.50
  5. Step 5: Solve for x
    x = 88,380.50/310.36
  6. Step 6: Final answer
    x = 284.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.