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Finding the Fourth Proportional to 506.26, 760.76 and 275.32

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Solution

The fourth proportional to 506.26, 760.76 and 275.32 is: 413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.26 : 760.76 = 275.32 : x
  2. Step 2: Convert to fraction form
    506.26/760.76 = 275.32/x
  3. Step 3: Cross multiply
    506.26x = 760.76 × 275.32
  4. Step 4: Simplify right side
    506.26x = 209,447.26
  5. Step 5: Solve for x
    x = 209,447.26/506.26
  6. Step 6: Final answer
    x = 413.72

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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.