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Finding the Fourth Proportional to 147.80, 222.89 and 146.84

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Solution

The fourth proportional to 147.80, 222.89 and 146.84 is: 221.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.80 : 222.89 = 146.84 : x
  2. Step 2: Convert to fraction form
    147.80/222.89 = 146.84/x
  3. Step 3: Cross multiply
    147.80x = 222.89 × 146.84
  4. Step 4: Simplify right side
    147.80x = 32,729.17
  5. Step 5: Solve for x
    x = 32,729.17/147.80
  6. Step 6: Final answer
    x = 221.44

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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.