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Finding the Fourth Proportional to 222.44, 306.78 and 156.02

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Solution

The fourth proportional to 222.44, 306.78 and 156.02 is: 215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.44 : 306.78 = 156.02 : x
  2. Step 2: Convert to fraction form
    222.44/306.78 = 156.02/x
  3. Step 3: Cross multiply
    222.44x = 306.78 × 156.02
  4. Step 4: Simplify right side
    222.44x = 47,862.28
  5. Step 5: Solve for x
    x = 47,862.28/222.44
  6. Step 6: Final answer
    x = 215.17

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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.