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Finding the Fourth Proportional to 222.63, 307.23 and 145.14

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Solution

The fourth proportional to 222.63, 307.23 and 145.14 is: 200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.63 : 307.23 = 145.14 : x
  2. Step 2: Convert to fraction form
    222.63/307.23 = 145.14/x
  3. Step 3: Cross multiply
    222.63x = 307.23 × 145.14
  4. Step 4: Simplify right side
    222.63x = 44,591.36
  5. Step 5: Solve for x
    x = 44,591.36/222.63
  6. Step 6: Final answer
    x = 200.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.