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Finding the Fourth Proportional to 147.36, 222.16 and 138.08

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Solution

The fourth proportional to 147.36, 222.16 and 138.08 is: 208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.36 : 222.16 = 138.08 : x
  2. Step 2: Convert to fraction form
    147.36/222.16 = 138.08/x
  3. Step 3: Cross multiply
    147.36x = 222.16 × 138.08
  4. Step 4: Simplify right side
    147.36x = 30,675.85
  5. Step 5: Solve for x
    x = 30,675.85/147.36
  6. Step 6: Final answer
    x = 208.17

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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.