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Finding the Fourth Proportional to 146.16, 218.21 and 137.46

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Solution

The fourth proportional to 146.16, 218.21 and 137.46 is: 205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.16 : 218.21 = 137.46 : x
  2. Step 2: Convert to fraction form
    146.16/218.21 = 137.46/x
  3. Step 3: Cross multiply
    146.16x = 218.21 × 137.46
  4. Step 4: Simplify right side
    146.16x = 29,994.46
  5. Step 5: Solve for x
    x = 29,994.46/146.16
  6. Step 6: Final answer
    x = 205.22

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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.