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Finding the Fourth Proportional to 255.49, 384.75 and 231.39

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Solution

The fourth proportional to 255.49, 384.75 and 231.39 is: 348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.49 : 384.75 = 231.39 : x
  2. Step 2: Convert to fraction form
    255.49/384.75 = 231.39/x
  3. Step 3: Cross multiply
    255.49x = 384.75 × 231.39
  4. Step 4: Simplify right side
    255.49x = 89,027.30
  5. Step 5: Solve for x
    x = 89,027.30/255.49
  6. Step 6: Final answer
    x = 348.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.