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Finding the Fourth Proportional to 291.06, 398.99 and 285.82

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Solution

The fourth proportional to 291.06, 398.99 and 285.82 is: 391.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.06 : 398.99 = 285.82 : x
  2. Step 2: Convert to fraction form
    291.06/398.99 = 285.82/x
  3. Step 3: Cross multiply
    291.06x = 398.99 × 285.82
  4. Step 4: Simplify right side
    291.06x = 114,039.04
  5. Step 5: Solve for x
    x = 114,039.04/291.06
  6. Step 6: Final answer
    x = 391.81

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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.