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Finding the Fourth Proportional to 268.34, 370.17 and 202.66

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Solution

The fourth proportional to 268.34, 370.17 and 202.66 is: 279.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.34 : 370.17 = 202.66 : x
  2. Step 2: Convert to fraction form
    268.34/370.17 = 202.66/x
  3. Step 3: Cross multiply
    268.34x = 370.17 × 202.66
  4. Step 4: Simplify right side
    268.34x = 75,018.65
  5. Step 5: Solve for x
    x = 75,018.65/268.34
  6. Step 6: Final answer
    x = 279.57

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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.