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Finding the Fourth Proportional to 257.97, 384.47 and 257.57

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Solution

The fourth proportional to 257.97, 384.47 and 257.57 is: 383.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.97 : 384.47 = 257.57 : x
  2. Step 2: Convert to fraction form
    257.97/384.47 = 257.57/x
  3. Step 3: Cross multiply
    257.97x = 384.47 × 257.57
  4. Step 4: Simplify right side
    257.97x = 99,027.94
  5. Step 5: Solve for x
    x = 99,027.94/257.97
  6. Step 6: Final answer
    x = 383.87

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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.