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Finding the Fourth Proportional to 147.19, 222.07 and 145.97

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Solution

The fourth proportional to 147.19, 222.07 and 145.97 is: 220.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.19 : 222.07 = 145.97 : x
  2. Step 2: Convert to fraction form
    147.19/222.07 = 145.97/x
  3. Step 3: Cross multiply
    147.19x = 222.07 × 145.97
  4. Step 4: Simplify right side
    147.19x = 32,415.56
  5. Step 5: Solve for x
    x = 32,415.56/147.19
  6. Step 6: Final answer
    x = 220.24

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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.