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Finding the Fourth Proportional to 169.80, 255.15 and 148.64

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Solution

The fourth proportional to 169.80, 255.15 and 148.64 is: 223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.80 : 255.15 = 148.64 : x
  2. Step 2: Convert to fraction form
    169.80/255.15 = 148.64/x
  3. Step 3: Cross multiply
    169.80x = 255.15 × 148.64
  4. Step 4: Simplify right side
    169.80x = 37,924.22
  5. Step 5: Solve for x
    x = 37,924.22/169.80
  6. Step 6: Final answer
    x = 223.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.