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Finding the Fourth Proportional to 154.60, 214.83 and 153.96

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Solution

The fourth proportional to 154.60, 214.83 and 153.96 is: 213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.60 : 214.83 = 153.96 : x
  2. Step 2: Convert to fraction form
    154.60/214.83 = 153.96/x
  3. Step 3: Cross multiply
    154.60x = 214.83 × 153.96
  4. Step 4: Simplify right side
    154.60x = 33,075.23
  5. Step 5: Solve for x
    x = 33,075.23/154.60
  6. Step 6: Final answer
    x = 213.94

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.