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Finding the Fourth Proportional to 215.50, 324.37 and 184.18

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Solution

The fourth proportional to 215.50, 324.37 and 184.18 is: 277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.50 : 324.37 = 184.18 : x
  2. Step 2: Convert to fraction form
    215.50/324.37 = 184.18/x
  3. Step 3: Cross multiply
    215.50x = 324.37 × 184.18
  4. Step 4: Simplify right side
    215.50x = 59,742.47
  5. Step 5: Solve for x
    x = 59,742.47/215.50
  6. Step 6: Final answer
    x = 277.23

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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.