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Finding the Fourth Proportional to 506.71, 760.29 and 233.00

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Solution

The fourth proportional to 506.71, 760.29 and 233.00 is: 349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.71 : 760.29 = 233.00 : x
  2. Step 2: Convert to fraction form
    506.71/760.29 = 233.00/x
  3. Step 3: Cross multiply
    506.71x = 760.29 × 233.00
  4. Step 4: Simplify right side
    506.71x = 177,147.88
  5. Step 5: Solve for x
    x = 177,147.88/506.71
  6. Step 6: Final answer
    x = 349.61

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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.