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Finding the Fourth Proportional to 147.18, 221.81 and 138.06

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Solution

The fourth proportional to 147.18, 221.81 and 138.06 is: 208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.18 : 221.81 = 138.06 : x
  2. Step 2: Convert to fraction form
    147.18/221.81 = 138.06/x
  3. Step 3: Cross multiply
    147.18x = 221.81 × 138.06
  4. Step 4: Simplify right side
    147.18x = 30,623.09
  5. Step 5: Solve for x
    x = 30,623.09/147.18
  6. Step 6: Final answer
    x = 208.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.