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Finding the Fourth Proportional to 222.89, 307.74 and 145.40

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Solution

The fourth proportional to 222.89, 307.74 and 145.40 is: 200.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.89 : 307.74 = 145.40 : x
  2. Step 2: Convert to fraction form
    222.89/307.74 = 145.40/x
  3. Step 3: Cross multiply
    222.89x = 307.74 × 145.40
  4. Step 4: Simplify right side
    222.89x = 44,745.40
  5. Step 5: Solve for x
    x = 44,745.40/222.89
  6. Step 6: Final answer
    x = 200.75

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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.