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Finding the Fourth Proportional to 219.08, 324.74 and 215.64

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Solution

The fourth proportional to 219.08, 324.74 and 215.64 is: 319.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.08 : 324.74 = 215.64 : x
  2. Step 2: Convert to fraction form
    219.08/324.74 = 215.64/x
  3. Step 3: Cross multiply
    219.08x = 324.74 × 215.64
  4. Step 4: Simplify right side
    219.08x = 70,027.47
  5. Step 5: Solve for x
    x = 70,027.47/219.08
  6. Step 6: Final answer
    x = 319.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.