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Finding the Fourth Proportional to 255.01, 351.94 and 160.55

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Solution

The fourth proportional to 255.01, 351.94 and 160.55 is: 221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    255.01 : 351.94 = 160.55 : x
  2. Step 2: Convert to fraction form
    255.01/351.94 = 160.55/x
  3. Step 3: Cross multiply
    255.01x = 351.94 × 160.55
  4. Step 4: Simplify right side
    255.01x = 56,503.16
  5. Step 5: Solve for x
    x = 56,503.16/255.01
  6. Step 6: Final answer
    x = 221.57

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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.