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Finding the Fourth Proportional to 222.41, 306.91 and 148.66

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Solution

The fourth proportional to 222.41, 306.91 and 148.66 is: 205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.41 : 306.91 = 148.66 : x
  2. Step 2: Convert to fraction form
    222.41/306.91 = 148.66/x
  3. Step 3: Cross multiply
    222.41x = 306.91 × 148.66
  4. Step 4: Simplify right side
    222.41x = 45,625.24
  5. Step 5: Solve for x
    x = 45,625.24/222.41
  6. Step 6: Final answer
    x = 205.14

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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.