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Finding the Fourth Proportional to 219.79, 327.63 and 216.45

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Solution

The fourth proportional to 219.79, 327.63 and 216.45 is: 322.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.79 : 327.63 = 216.45 : x
  2. Step 2: Convert to fraction form
    219.79/327.63 = 216.45/x
  3. Step 3: Cross multiply
    219.79x = 327.63 × 216.45
  4. Step 4: Simplify right side
    219.79x = 70,915.51
  5. Step 5: Solve for x
    x = 70,915.51/219.79
  6. Step 6: Final answer
    x = 322.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.