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Finding the Fourth Proportional to 291.23, 398.68 and 281.92

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Solution

The fourth proportional to 291.23, 398.68 and 281.92 is: 385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.23 : 398.68 = 281.92 : x
  2. Step 2: Convert to fraction form
    291.23/398.68 = 281.92/x
  3. Step 3: Cross multiply
    291.23x = 398.68 × 281.92
  4. Step 4: Simplify right side
    291.23x = 112,395.87
  5. Step 5: Solve for x
    x = 112,395.87/291.23
  6. Step 6: Final answer
    x = 385.94

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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.