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Finding the Fourth Proportional to 169.04, 254.55 and 149.01

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Solution

The fourth proportional to 169.04, 254.55 and 149.01 is: 224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.04 : 254.55 = 149.01 : x
  2. Step 2: Convert to fraction form
    169.04/254.55 = 149.01/x
  3. Step 3: Cross multiply
    169.04x = 254.55 × 149.01
  4. Step 4: Simplify right side
    169.04x = 37,929.94
  5. Step 5: Solve for x
    x = 37,929.94/169.04
  6. Step 6: Final answer
    x = 224.39

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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.