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Finding the Fourth Proportional to 154.28, 231.40 and 46.04

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Solution

The fourth proportional to 154.28, 231.40 and 46.04 is: 69.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.28 : 231.40 = 46.04 : x
  2. Step 2: Convert to fraction form
    154.28/231.40 = 46.04/x
  3. Step 3: Cross multiply
    154.28x = 231.40 × 46.04
  4. Step 4: Simplify right side
    154.28x = 10,653.66
  5. Step 5: Solve for x
    x = 10,653.66/154.28
  6. Step 6: Final answer
    x = 69.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.