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Finding the Fourth Proportional to 255.86, 353.22 and 173.02

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Solution

The fourth proportional to 255.86, 353.22 and 173.02 is: 238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.86 : 353.22 = 173.02 : x
  2. Step 2: Convert to fraction form
    255.86/353.22 = 173.02/x
  3. Step 3: Cross multiply
    255.86x = 353.22 × 173.02
  4. Step 4: Simplify right side
    255.86x = 61,114.12
  5. Step 5: Solve for x
    x = 61,114.12/255.86
  6. Step 6: Final answer
    x = 238.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.