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Finding the Fourth Proportional to 255.34, 350.08 and 255.07

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Solution

The fourth proportional to 255.34, 350.08 and 255.07 is: 349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.34 : 350.08 = 255.07 : x
  2. Step 2: Convert to fraction form
    255.34/350.08 = 255.07/x
  3. Step 3: Cross multiply
    255.34x = 350.08 × 255.07
  4. Step 4: Simplify right side
    255.34x = 89,294.91
  5. Step 5: Solve for x
    x = 89,294.91/255.34
  6. Step 6: Final answer
    x = 349.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.