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Finding the Fourth Proportional to 146.46, 218.62 and 130.26

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Solution

The fourth proportional to 146.46, 218.62 and 130.26 is: 194.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.46 : 218.62 = 130.26 : x
  2. Step 2: Convert to fraction form
    146.46/218.62 = 130.26/x
  3. Step 3: Cross multiply
    146.46x = 218.62 × 130.26
  4. Step 4: Simplify right side
    146.46x = 28,477.44
  5. Step 5: Solve for x
    x = 28,477.44/146.46
  6. Step 6: Final answer
    x = 194.44

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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.