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Finding the Fourth Proportional to 292.20, 436.16 and 255.75

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Solution

The fourth proportional to 292.20, 436.16 and 255.75 is: 381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.20 : 436.16 = 255.75 : x
  2. Step 2: Convert to fraction form
    292.20/436.16 = 255.75/x
  3. Step 3: Cross multiply
    292.20x = 436.16 × 255.75
  4. Step 4: Simplify right side
    292.20x = 111,546.64
  5. Step 5: Solve for x
    x = 111,546.64/292.20
  6. Step 6: Final answer
    x = 381.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.