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Finding the Fourth Proportional to 154.19, 230.38 and 148.81

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Solution

The fourth proportional to 154.19, 230.38 and 148.81 is: 222.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.19 : 230.38 = 148.81 : x
  2. Step 2: Convert to fraction form
    154.19/230.38 = 148.81/x
  3. Step 3: Cross multiply
    154.19x = 230.38 × 148.81
  4. Step 4: Simplify right side
    154.19x = 34,282.64
  5. Step 5: Solve for x
    x = 34,282.64/154.19
  6. Step 6: Final answer
    x = 222.34

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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.