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Finding the Fourth Proportional to 148.24, 222.28 and 45.49

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Solution

The fourth proportional to 148.24, 222.28 and 45.49 is: 68.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.24 : 222.28 = 45.49 : x
  2. Step 2: Convert to fraction form
    148.24/222.28 = 45.49/x
  3. Step 3: Cross multiply
    148.24x = 222.28 × 45.49
  4. Step 4: Simplify right side
    148.24x = 10,111.52
  5. Step 5: Solve for x
    x = 10,111.52/148.24
  6. Step 6: Final answer
    x = 68.21

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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.