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Finding the Fourth Proportional to 169.77, 253.40 and 149.22

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Solution

The fourth proportional to 169.77, 253.40 and 149.22 is: 222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.77 : 253.40 = 149.22 : x
  2. Step 2: Convert to fraction form
    169.77/253.40 = 149.22/x
  3. Step 3: Cross multiply
    169.77x = 253.40 × 149.22
  4. Step 4: Simplify right side
    169.77x = 37,812.72
  5. Step 5: Solve for x
    x = 37,812.72/169.77
  6. Step 6: Final answer
    x = 222.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.