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Finding the Fourth Proportional to 255.44, 384.70 and 225.34

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Solution

The fourth proportional to 255.44, 384.70 and 225.34 is: 339.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.44 : 384.70 = 225.34 : x
  2. Step 2: Convert to fraction form
    255.44/384.70 = 225.34/x
  3. Step 3: Cross multiply
    255.44x = 384.70 × 225.34
  4. Step 4: Simplify right side
    255.44x = 86,688.30
  5. Step 5: Solve for x
    x = 86,688.30/255.44
  6. Step 6: Final answer
    x = 339.37

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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.