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Finding the Fourth Proportional to 291.20, 400.64 and 254.45

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Solution

The fourth proportional to 291.20, 400.64 and 254.45 is: 350.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.20 : 400.64 = 254.45 : x
  2. Step 2: Convert to fraction form
    291.20/400.64 = 254.45/x
  3. Step 3: Cross multiply
    291.20x = 400.64 × 254.45
  4. Step 4: Simplify right side
    291.20x = 101,941.48
  5. Step 5: Solve for x
    x = 101,941.48/291.20
  6. Step 6: Final answer
    x = 350.08

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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.