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Finding the Fourth Proportional to 215.53, 323.30 and 154.78

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Solution

The fourth proportional to 215.53, 323.30 and 154.78 is: 232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.53 : 323.30 = 154.78 : x
  2. Step 2: Convert to fraction form
    215.53/323.30 = 154.78/x
  3. Step 3: Cross multiply
    215.53x = 323.30 × 154.78
  4. Step 4: Simplify right side
    215.53x = 50,040.37
  5. Step 5: Solve for x
    x = 50,040.37/215.53
  6. Step 6: Final answer
    x = 232.17

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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.