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Finding the Fourth Proportional to 147.64, 222.25 and 113.59

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Solution

The fourth proportional to 147.64, 222.25 and 113.59 is: 170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.64 : 222.25 = 113.59 : x
  2. Step 2: Convert to fraction form
    147.64/222.25 = 113.59/x
  3. Step 3: Cross multiply
    147.64x = 222.25 × 113.59
  4. Step 4: Simplify right side
    147.64x = 25,245.38
  5. Step 5: Solve for x
    x = 25,245.38/147.64
  6. Step 6: Final answer
    x = 170.99

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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.