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Finding the Fourth Proportional to 154.36, 230.51 and 146.46

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Solution

The fourth proportional to 154.36, 230.51 and 146.46 is: 218.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.36 : 230.51 = 146.46 : x
  2. Step 2: Convert to fraction form
    154.36/230.51 = 146.46/x
  3. Step 3: Cross multiply
    154.36x = 230.51 × 146.46
  4. Step 4: Simplify right side
    154.36x = 33,759.76
  5. Step 5: Solve for x
    x = 33,759.76/154.36
  6. Step 6: Final answer
    x = 218.71

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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.