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Finding the Fourth Proportional to 291.87, 437.81 and 257.31

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Solution

The fourth proportional to 291.87, 437.81 and 257.31 is: 385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.87 : 437.81 = 257.31 : x
  2. Step 2: Convert to fraction form
    291.87/437.81 = 257.31/x
  3. Step 3: Cross multiply
    291.87x = 437.81 × 257.31
  4. Step 4: Simplify right side
    291.87x = 112,651.60
  5. Step 5: Solve for x
    x = 112,651.60/291.87
  6. Step 6: Final answer
    x = 385.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.