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Finding the Fourth Proportional to 257.23, 383.84 and 251.05

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Solution

The fourth proportional to 257.23, 383.84 and 251.05 is: 374.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.23 : 383.84 = 251.05 : x
  2. Step 2: Convert to fraction form
    257.23/383.84 = 251.05/x
  3. Step 3: Cross multiply
    257.23x = 383.84 × 251.05
  4. Step 4: Simplify right side
    257.23x = 96,362.48
  5. Step 5: Solve for x
    x = 96,362.48/257.23
  6. Step 6: Final answer
    x = 374.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.