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Finding the Fourth Proportional to 215.36, 324.20 and 184.04

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Solution

The fourth proportional to 215.36, 324.20 and 184.04 is: 277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.36 : 324.20 = 184.04 : x
  2. Step 2: Convert to fraction form
    215.36/324.20 = 184.04/x
  3. Step 3: Cross multiply
    215.36x = 324.20 × 184.04
  4. Step 4: Simplify right side
    215.36x = 59,665.77
  5. Step 5: Solve for x
    x = 59,665.77/215.36
  6. Step 6: Final answer
    x = 277.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.