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Finding the Fourth Proportional to 169.77, 255.59 and 146.28

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Solution

The fourth proportional to 169.77, 255.59 and 146.28 is: 220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.77 : 255.59 = 146.28 : x
  2. Step 2: Convert to fraction form
    169.77/255.59 = 146.28/x
  3. Step 3: Cross multiply
    169.77x = 255.59 × 146.28
  4. Step 4: Simplify right side
    169.77x = 37,388.07
  5. Step 5: Solve for x
    x = 37,388.07/169.77
  6. Step 6: Final answer
    x = 220.23

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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.