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Finding the Fourth Proportional to 291.78, 439.41 and 263.22

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Solution

The fourth proportional to 291.78, 439.41 and 263.22 is: 396.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.78 : 439.41 = 263.22 : x
  2. Step 2: Convert to fraction form
    291.78/439.41 = 263.22/x
  3. Step 3: Cross multiply
    291.78x = 439.41 × 263.22
  4. Step 4: Simplify right side
    291.78x = 115,661.50
  5. Step 5: Solve for x
    x = 115,661.50/291.78
  6. Step 6: Final answer
    x = 396.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.