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Finding the Fourth Proportional to 255.31, 384.87 and 238.35

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Solution

The fourth proportional to 255.31, 384.87 and 238.35 is: 359.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.31 : 384.87 = 238.35 : x
  2. Step 2: Convert to fraction form
    255.31/384.87 = 238.35/x
  3. Step 3: Cross multiply
    255.31x = 384.87 × 238.35
  4. Step 4: Simplify right side
    255.31x = 91,734.63
  5. Step 5: Solve for x
    x = 91,734.63/255.31
  6. Step 6: Final answer
    x = 359.31

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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.