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Finding the Fourth Proportional to 366.06, 504.86 and 255.40

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Solution

The fourth proportional to 366.06, 504.86 and 255.40 is: 352.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.06 : 504.86 = 255.40 : x
  2. Step 2: Convert to fraction form
    366.06/504.86 = 255.40/x
  3. Step 3: Cross multiply
    366.06x = 504.86 × 255.40
  4. Step 4: Simplify right side
    366.06x = 128,941.24
  5. Step 5: Solve for x
    x = 128,941.24/366.06
  6. Step 6: Final answer
    x = 352.24

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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.