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Finding the Fourth Proportional to 222.40, 306.95 and 139.54

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Solution

The fourth proportional to 222.40, 306.95 and 139.54 is: 192.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.40 : 306.95 = 139.54 : x
  2. Step 2: Convert to fraction form
    222.40/306.95 = 139.54/x
  3. Step 3: Cross multiply
    222.40x = 306.95 × 139.54
  4. Step 4: Simplify right side
    222.40x = 42,831.80
  5. Step 5: Solve for x
    x = 42,831.80/222.40
  6. Step 6: Final answer
    x = 192.59

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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.