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Finding the Fourth Proportional to 255.77, 385.05 and 229.31

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Solution

The fourth proportional to 255.77, 385.05 and 229.31 is: 345.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.77 : 385.05 = 229.31 : x
  2. Step 2: Convert to fraction form
    255.77/385.05 = 229.31/x
  3. Step 3: Cross multiply
    255.77x = 385.05 × 229.31
  4. Step 4: Simplify right side
    255.77x = 88,295.82
  5. Step 5: Solve for x
    x = 88,295.82/255.77
  6. Step 6: Final answer
    x = 345.22

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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.