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Finding the Fourth Proportional to 228.75, 313.59 and 216.60

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Solution

The fourth proportional to 228.75, 313.59 and 216.60 is: 296.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.75 : 313.59 = 216.60 : x
  2. Step 2: Convert to fraction form
    228.75/313.59 = 216.60/x
  3. Step 3: Cross multiply
    228.75x = 313.59 × 216.60
  4. Step 4: Simplify right side
    228.75x = 67,923.59
  5. Step 5: Solve for x
    x = 67,923.59/228.75
  6. Step 6: Final answer
    x = 296.93

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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.