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Finding the Fourth Proportional to 257.08, 384.78 and 165.54

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Solution

The fourth proportional to 257.08, 384.78 and 165.54 is: 247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.08 : 384.78 = 165.54 : x
  2. Step 2: Convert to fraction form
    257.08/384.78 = 165.54/x
  3. Step 3: Cross multiply
    257.08x = 384.78 × 165.54
  4. Step 4: Simplify right side
    257.08x = 63,696.48
  5. Step 5: Solve for x
    x = 63,696.48/257.08
  6. Step 6: Final answer
    x = 247.77

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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.