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Finding the Fourth Proportional to 410.23, 566.15 and 233.20

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Solution

The fourth proportional to 410.23, 566.15 and 233.20 is: 321.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.23 : 566.15 = 233.20 : x
  2. Step 2: Convert to fraction form
    410.23/566.15 = 233.20/x
  3. Step 3: Cross multiply
    410.23x = 566.15 × 233.20
  4. Step 4: Simplify right side
    410.23x = 132,025.72
  5. Step 5: Solve for x
    x = 132,025.72/410.23
  6. Step 6: Final answer
    x = 321.83

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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.