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Finding the Fourth Proportional to 152.12, 226.91 and 138.29

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Solution

The fourth proportional to 152.12, 226.91 and 138.29 is: 206.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.12 : 226.91 = 138.29 : x
  2. Step 2: Convert to fraction form
    152.12/226.91 = 138.29/x
  3. Step 3: Cross multiply
    152.12x = 226.91 × 138.29
  4. Step 4: Simplify right side
    152.12x = 31,378.60
  5. Step 5: Solve for x
    x = 31,378.60/152.12
  6. Step 6: Final answer
    x = 206.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.