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Finding the Fourth Proportional to 220.99, 304.89 and 138.04

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Solution

The fourth proportional to 220.99, 304.89 and 138.04 is: 190.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.99 : 304.89 = 138.04 : x
  2. Step 2: Convert to fraction form
    220.99/304.89 = 138.04/x
  3. Step 3: Cross multiply
    220.99x = 304.89 × 138.04
  4. Step 4: Simplify right side
    220.99x = 42,087.02
  5. Step 5: Solve for x
    x = 42,087.02/220.99
  6. Step 6: Final answer
    x = 190.45

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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.