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Finding the Fourth Proportional to 147.65, 222.26 and 113.84

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Solution

The fourth proportional to 147.65, 222.26 and 113.84 is: 171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.65 : 222.26 = 113.84 : x
  2. Step 2: Convert to fraction form
    147.65/222.26 = 113.84/x
  3. Step 3: Cross multiply
    147.65x = 222.26 × 113.84
  4. Step 4: Simplify right side
    147.65x = 25,300.40
  5. Step 5: Solve for x
    x = 25,300.40/147.65
  6. Step 6: Final answer
    x = 171.36

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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.