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Finding the Fourth Proportional to 222.66, 307.94 and 219.02

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Solution

The fourth proportional to 222.66, 307.94 and 219.02 is: 302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.66 : 307.94 = 219.02 : x
  2. Step 2: Convert to fraction form
    222.66/307.94 = 219.02/x
  3. Step 3: Cross multiply
    222.66x = 307.94 × 219.02
  4. Step 4: Simplify right side
    222.66x = 67,445.02
  5. Step 5: Solve for x
    x = 67,445.02/222.66
  6. Step 6: Final answer
    x = 302.91

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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.