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Finding the Fourth Proportional to 366.25, 504.70 and 261.15

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Solution

The fourth proportional to 366.25, 504.70 and 261.15 is: 359.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.25 : 504.70 = 261.15 : x
  2. Step 2: Convert to fraction form
    366.25/504.70 = 261.15/x
  3. Step 3: Cross multiply
    366.25x = 504.70 × 261.15
  4. Step 4: Simplify right side
    366.25x = 131,804.12
  5. Step 5: Solve for x
    x = 131,804.12/366.25
  6. Step 6: Final answer
    x = 359.87

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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.