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Finding the Fourth Proportional to 169.67, 253.25 and 146.44

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Solution

The fourth proportional to 169.67, 253.25 and 146.44 is: 218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.67 : 253.25 = 146.44 : x
  2. Step 2: Convert to fraction form
    169.67/253.25 = 146.44/x
  3. Step 3: Cross multiply
    169.67x = 253.25 × 146.44
  4. Step 4: Simplify right side
    169.67x = 37,085.93
  5. Step 5: Solve for x
    x = 37,085.93/169.67
  6. Step 6: Final answer
    x = 218.58

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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.