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Finding the Fourth Proportional to 148.40, 222.16 and 110.05

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Solution

The fourth proportional to 148.40, 222.16 and 110.05 is: 164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.40 : 222.16 = 110.05 : x
  2. Step 2: Convert to fraction form
    148.40/222.16 = 110.05/x
  3. Step 3: Cross multiply
    148.40x = 222.16 × 110.05
  4. Step 4: Simplify right side
    148.40x = 24,448.16
  5. Step 5: Solve for x
    x = 24,448.16/148.40
  6. Step 6: Final answer
    x = 164.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.