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Finding the Fourth Proportional to 306.82, 423.52 and 233.04

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Solution

The fourth proportional to 306.82, 423.52 and 233.04 is: 321.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.82 : 423.52 = 233.04 : x
  2. Step 2: Convert to fraction form
    306.82/423.52 = 233.04/x
  3. Step 3: Cross multiply
    306.82x = 423.52 × 233.04
  4. Step 4: Simplify right side
    306.82x = 98,697.10
  5. Step 5: Solve for x
    x = 98,697.10/306.82
  6. Step 6: Final answer
    x = 321.68

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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.