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Finding the Fourth Proportional to 219.60, 301.25 and 215.96

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Solution

The fourth proportional to 219.60, 301.25 and 215.96 is: 296.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.60 : 301.25 = 215.96 : x
  2. Step 2: Convert to fraction form
    219.60/301.25 = 215.96/x
  3. Step 3: Cross multiply
    219.60x = 301.25 × 215.96
  4. Step 4: Simplify right side
    219.60x = 65,055.36
  5. Step 5: Solve for x
    x = 65,055.36/219.60
  6. Step 6: Final answer
    x = 296.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.