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Finding the Fourth Proportional to 255.01, 351.72 and 192.85

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Solution

The fourth proportional to 255.01, 351.72 and 192.85 is: 265.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.01 : 351.72 = 192.85 : x
  2. Step 2: Convert to fraction form
    255.01/351.72 = 192.85/x
  3. Step 3: Cross multiply
    255.01x = 351.72 × 192.85
  4. Step 4: Simplify right side
    255.01x = 67,829.20
  5. Step 5: Solve for x
    x = 67,829.20/255.01
  6. Step 6: Final answer
    x = 265.99

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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.