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Finding the Fourth Proportional to 146.50, 203.08 and 137.18

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Solution

The fourth proportional to 146.50, 203.08 and 137.18 is: 190.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.50 : 203.08 = 137.18 : x
  2. Step 2: Convert to fraction form
    146.50/203.08 = 137.18/x
  3. Step 3: Cross multiply
    146.50x = 203.08 × 137.18
  4. Step 4: Simplify right side
    146.50x = 27,858.51
  5. Step 5: Solve for x
    x = 27,858.51/146.50
  6. Step 6: Final answer
    x = 190.16

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.