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Finding the Fourth Proportional to 154.05, 212.86 and 123.22

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Solution

The fourth proportional to 154.05, 212.86 and 123.22 is: 170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.05 : 212.86 = 123.22 : x
  2. Step 2: Convert to fraction form
    154.05/212.86 = 123.22/x
  3. Step 3: Cross multiply
    154.05x = 212.86 × 123.22
  4. Step 4: Simplify right side
    154.05x = 26,227.99
  5. Step 5: Solve for x
    x = 26,227.99/154.05
  6. Step 6: Final answer
    x = 170.26

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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.