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Finding the Fourth Proportional to 215.64, 324.06 and 214.48

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Solution

The fourth proportional to 215.64, 324.06 and 214.48 is: 322.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.64 : 324.06 = 214.48 : x
  2. Step 2: Convert to fraction form
    215.64/324.06 = 214.48/x
  3. Step 3: Cross multiply
    215.64x = 324.06 × 214.48
  4. Step 4: Simplify right side
    215.64x = 69,504.39
  5. Step 5: Solve for x
    x = 69,504.39/215.64
  6. Step 6: Final answer
    x = 322.32

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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.