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Finding the Fourth Proportional to 255.98, 385.85 and 234.07

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Solution

The fourth proportional to 255.98, 385.85 and 234.07 is: 352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.98 : 385.85 = 234.07 : x
  2. Step 2: Convert to fraction form
    255.98/385.85 = 234.07/x
  3. Step 3: Cross multiply
    255.98x = 385.85 × 234.07
  4. Step 4: Simplify right side
    255.98x = 90,315.66
  5. Step 5: Solve for x
    x = 90,315.66/255.98
  6. Step 6: Final answer
    x = 352.82

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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.