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Finding the Fourth Proportional to 169.02, 252.28 and 148.47

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Solution

The fourth proportional to 169.02, 252.28 and 148.47 is: 221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.02 : 252.28 = 148.47 : x
  2. Step 2: Convert to fraction form
    169.02/252.28 = 148.47/x
  3. Step 3: Cross multiply
    169.02x = 252.28 × 148.47
  4. Step 4: Simplify right side
    169.02x = 37,455.25
  5. Step 5: Solve for x
    x = 37,455.25/169.02
  6. Step 6: Final answer
    x = 221.60

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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.