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Finding the Fourth Proportional to 147.98, 222.02 and 51.80

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Solution

The fourth proportional to 147.98, 222.02 and 51.80 is: 77.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.98 : 222.02 = 51.80 : x
  2. Step 2: Convert to fraction form
    147.98/222.02 = 51.80/x
  3. Step 3: Cross multiply
    147.98x = 222.02 × 51.80
  4. Step 4: Simplify right side
    147.98x = 11,500.64
  5. Step 5: Solve for x
    x = 11,500.64/147.98
  6. Step 6: Final answer
    x = 77.72

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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.