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Finding the Fourth Proportional to 154.89, 230.84 and 146.00

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Solution

The fourth proportional to 154.89, 230.84 and 146.00 is: 217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.89 : 230.84 = 146.00 : x
  2. Step 2: Convert to fraction form
    154.89/230.84 = 146.00/x
  3. Step 3: Cross multiply
    154.89x = 230.84 × 146.00
  4. Step 4: Simplify right side
    154.89x = 33,703.03
  5. Step 5: Solve for x
    x = 33,703.03/154.89
  6. Step 6: Final answer
    x = 217.59

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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.