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Finding the Fourth Proportional to 291.12, 400.80 and 254.24

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Solution

The fourth proportional to 291.12, 400.80 and 254.24 is: 350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.12 : 400.80 = 254.24 : x
  2. Step 2: Convert to fraction form
    291.12/400.80 = 254.24/x
  3. Step 3: Cross multiply
    291.12x = 400.80 × 254.24
  4. Step 4: Simplify right side
    291.12x = 101,899.39
  5. Step 5: Solve for x
    x = 101,899.39/291.12
  6. Step 6: Final answer
    x = 350.03

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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.