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Finding the Fourth Proportional to 154.07, 229.44 and 144.75

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Solution

The fourth proportional to 154.07, 229.44 and 144.75 is: 215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.07 : 229.44 = 144.75 : x
  2. Step 2: Convert to fraction form
    154.07/229.44 = 144.75/x
  3. Step 3: Cross multiply
    154.07x = 229.44 × 144.75
  4. Step 4: Simplify right side
    154.07x = 33,211.44
  5. Step 5: Solve for x
    x = 33,211.44/154.07
  6. Step 6: Final answer
    x = 215.57

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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.