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Finding the Fourth Proportional to 268.85, 370.90 and 206.57

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Solution

The fourth proportional to 268.85, 370.90 and 206.57 is: 284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.85 : 370.90 = 206.57 : x
  2. Step 2: Convert to fraction form
    268.85/370.90 = 206.57/x
  3. Step 3: Cross multiply
    268.85x = 370.90 × 206.57
  4. Step 4: Simplify right side
    268.85x = 76,616.81
  5. Step 5: Solve for x
    x = 76,616.81/268.85
  6. Step 6: Final answer
    x = 284.98

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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.