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Finding the Fourth Proportional to 291.40, 400.76 and 254.58

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Solution

The fourth proportional to 291.40, 400.76 and 254.58 is: 350.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.40 : 400.76 = 254.58 : x
  2. Step 2: Convert to fraction form
    291.40/400.76 = 254.58/x
  3. Step 3: Cross multiply
    291.40x = 400.76 × 254.58
  4. Step 4: Simplify right side
    291.40x = 102,025.48
  5. Step 5: Solve for x
    x = 102,025.48/291.40
  6. Step 6: Final answer
    x = 350.12

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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.