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Finding the Fourth Proportional to 268.35, 370.22 and 206.07

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Solution

The fourth proportional to 268.35, 370.22 and 206.07 is: 284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.35 : 370.22 = 206.07 : x
  2. Step 2: Convert to fraction form
    268.35/370.22 = 206.07/x
  3. Step 3: Cross multiply
    268.35x = 370.22 × 206.07
  4. Step 4: Simplify right side
    268.35x = 76,290.21
  5. Step 5: Solve for x
    x = 76,290.21/268.35
  6. Step 6: Final answer
    x = 284.29

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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.