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Finding the Fourth Proportional to 147.98, 222.77 and 133.09

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Solution

The fourth proportional to 147.98, 222.77 and 133.09 is: 200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.98 : 222.77 = 133.09 : x
  2. Step 2: Convert to fraction form
    147.98/222.77 = 133.09/x
  3. Step 3: Cross multiply
    147.98x = 222.77 × 133.09
  4. Step 4: Simplify right side
    147.98x = 29,648.71
  5. Step 5: Solve for x
    x = 29,648.71/147.98
  6. Step 6: Final answer
    x = 200.36

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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.