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Finding the Fourth Proportional to 257.00, 385.46 and 102.92

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Solution

The fourth proportional to 257.00, 385.46 and 102.92 is: 154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.00 : 385.46 = 102.92 : x
  2. Step 2: Convert to fraction form
    257.00/385.46 = 102.92/x
  3. Step 3: Cross multiply
    257.00x = 385.46 × 102.92
  4. Step 4: Simplify right side
    257.00x = 39,669.87
  5. Step 5: Solve for x
    x = 39,669.87/257.00
  6. Step 6: Final answer
    x = 154.36

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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.