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Finding the Fourth Proportional to 154.96, 230.81 and 152.68

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Solution

The fourth proportional to 154.96, 230.81 and 152.68 is: 227.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.96 : 230.81 = 152.68 : x
  2. Step 2: Convert to fraction form
    154.96/230.81 = 152.68/x
  3. Step 3: Cross multiply
    154.96x = 230.81 × 152.68
  4. Step 4: Simplify right side
    154.96x = 35,240.07
  5. Step 5: Solve for x
    x = 35,240.07/154.96
  6. Step 6: Final answer
    x = 227.41

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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.