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Finding the Fourth Proportional to 219.60, 304.80 and 216.72

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Solution

The fourth proportional to 219.60, 304.80 and 216.72 is: 300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.60 : 304.80 = 216.72 : x
  2. Step 2: Convert to fraction form
    219.60/304.80 = 216.72/x
  3. Step 3: Cross multiply
    219.60x = 304.80 × 216.72
  4. Step 4: Simplify right side
    219.60x = 66,056.26
  5. Step 5: Solve for x
    x = 66,056.26/219.60
  6. Step 6: Final answer
    x = 300.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.