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Finding the Fourth Proportional to 147.42, 222.14 and 122.29

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Solution

The fourth proportional to 147.42, 222.14 and 122.29 is: 184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.42 : 222.14 = 122.29 : x
  2. Step 2: Convert to fraction form
    147.42/222.14 = 122.29/x
  3. Step 3: Cross multiply
    147.42x = 222.14 × 122.29
  4. Step 4: Simplify right side
    147.42x = 27,165.50
  5. Step 5: Solve for x
    x = 27,165.50/147.42
  6. Step 6: Final answer
    x = 184.27

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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.