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Finding the Fourth Proportional to 268.02, 370.19 and 233.04

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Solution

The fourth proportional to 268.02, 370.19 and 233.04 is: 321.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.02 : 370.19 = 233.04 : x
  2. Step 2: Convert to fraction form
    268.02/370.19 = 233.04/x
  3. Step 3: Cross multiply
    268.02x = 370.19 × 233.04
  4. Step 4: Simplify right side
    268.02x = 86,267.91
  5. Step 5: Solve for x
    x = 86,267.91/268.02
  6. Step 6: Final answer
    x = 321.87

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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.