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Finding the Fourth Proportional to 148.98, 223.48 and 51.48

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Solution

The fourth proportional to 148.98, 223.48 and 51.48 is: 77.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.98 : 223.48 = 51.48 : x
  2. Step 2: Convert to fraction form
    148.98/223.48 = 51.48/x
  3. Step 3: Cross multiply
    148.98x = 223.48 × 51.48
  4. Step 4: Simplify right side
    148.98x = 11,504.75
  5. Step 5: Solve for x
    x = 11,504.75/148.98
  6. Step 6: Final answer
    x = 77.22

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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.