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Finding the Fourth Proportional to 154.56, 213.42 and 154.26

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Solution

The fourth proportional to 154.56, 213.42 and 154.26 is: 213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.56 : 213.42 = 154.26 : x
  2. Step 2: Convert to fraction form
    154.56/213.42 = 154.26/x
  3. Step 3: Cross multiply
    154.56x = 213.42 × 154.26
  4. Step 4: Simplify right side
    154.56x = 32,922.17
  5. Step 5: Solve for x
    x = 32,922.17/154.56
  6. Step 6: Final answer
    x = 213.01

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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.