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Finding the Fourth Proportional to 406.91, 610.70 and 233.91

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Solution

The fourth proportional to 406.91, 610.70 and 233.91 is: 351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.91 : 610.70 = 233.91 : x
  2. Step 2: Convert to fraction form
    406.91/610.70 = 233.91/x
  3. Step 3: Cross multiply
    406.91x = 610.70 × 233.91
  4. Step 4: Simplify right side
    406.91x = 142,847.67
  5. Step 5: Solve for x
    x = 142,847.67/406.91
  6. Step 6: Final answer
    x = 351.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.