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Finding the Fourth Proportional to 222.60, 301.15 and 222.60

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Solution

The fourth proportional to 222.60, 301.15 and 222.60 is: 301.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.60 : 301.15 = 222.60 : x
  2. Step 2: Convert to fraction form
    222.60/301.15 = 222.60/x
  3. Step 3: Cross multiply
    222.60x = 301.15 × 222.60
  4. Step 4: Simplify right side
    222.60x = 67,035.99
  5. Step 5: Solve for x
    x = 67,035.99/222.60
  6. Step 6: Final answer
    x = 301.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.