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Finding the Fourth Proportional to 222.54, 306.90 and 156.12

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Solution

The fourth proportional to 222.54, 306.90 and 156.12 is: 215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.54 : 306.90 = 156.12 : x
  2. Step 2: Convert to fraction form
    222.54/306.90 = 156.12/x
  3. Step 3: Cross multiply
    222.54x = 306.90 × 156.12
  4. Step 4: Simplify right side
    222.54x = 47,913.23
  5. Step 5: Solve for x
    x = 47,913.23/222.54
  6. Step 6: Final answer
    x = 215.30

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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.