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Finding the Fourth Proportional to 154.26, 231.44 and 73.10

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Solution

The fourth proportional to 154.26, 231.44 and 73.10 is: 109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.26 : 231.44 = 73.10 : x
  2. Step 2: Convert to fraction form
    154.26/231.44 = 73.10/x
  3. Step 3: Cross multiply
    154.26x = 231.44 × 73.10
  4. Step 4: Simplify right side
    154.26x = 16,916.74
  5. Step 5: Solve for x
    x = 16,916.74/154.26
  6. Step 6: Final answer
    x = 109.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.