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Finding the Fourth Proportional to 215.98, 324.06 and 154.96

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Solution

The fourth proportional to 215.98, 324.06 and 154.96 is: 232.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.98 : 324.06 = 154.96 : x
  2. Step 2: Convert to fraction form
    215.98/324.06 = 154.96/x
  3. Step 3: Cross multiply
    215.98x = 324.06 × 154.96
  4. Step 4: Simplify right side
    215.98x = 50,216.34
  5. Step 5: Solve for x
    x = 50,216.34/215.98
  6. Step 6: Final answer
    x = 232.50

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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.