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Finding the Fourth Proportional to 154.77, 231.79 and 141.10

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Solution

The fourth proportional to 154.77, 231.79 and 141.10 is: 211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.77 : 231.79 = 141.10 : x
  2. Step 2: Convert to fraction form
    154.77/231.79 = 141.10/x
  3. Step 3: Cross multiply
    154.77x = 231.79 × 141.10
  4. Step 4: Simplify right side
    154.77x = 32,705.57
  5. Step 5: Solve for x
    x = 32,705.57/154.77
  6. Step 6: Final answer
    x = 211.32

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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.