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Finding the Fourth Proportional to 294.63, 439.66 and 255.75

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Solution

The fourth proportional to 294.63, 439.66 and 255.75 is: 381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.63 : 439.66 = 255.75 : x
  2. Step 2: Convert to fraction form
    294.63/439.66 = 255.75/x
  3. Step 3: Cross multiply
    294.63x = 439.66 × 255.75
  4. Step 4: Simplify right side
    294.63x = 112,443.05
  5. Step 5: Solve for x
    x = 112,443.05/294.63
  6. Step 6: Final answer
    x = 381.64

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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.