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Finding the Fourth Proportional to 291.74, 400.22 and 284.07

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Solution

The fourth proportional to 291.74, 400.22 and 284.07 is: 389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.74 : 400.22 = 284.07 : x
  2. Step 2: Convert to fraction form
    291.74/400.22 = 284.07/x
  3. Step 3: Cross multiply
    291.74x = 400.22 × 284.07
  4. Step 4: Simplify right side
    291.74x = 113,691.28
  5. Step 5: Solve for x
    x = 113,691.28/291.74
  6. Step 6: Final answer
    x = 389.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.