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Finding the Fourth Proportional to 228.14, 312.41 and 215.65

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Solution

The fourth proportional to 228.14, 312.41 and 215.65 is: 295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.14 : 312.41 = 215.65 : x
  2. Step 2: Convert to fraction form
    228.14/312.41 = 215.65/x
  3. Step 3: Cross multiply
    228.14x = 312.41 × 215.65
  4. Step 4: Simplify right side
    228.14x = 67,369.36
  5. Step 5: Solve for x
    x = 67,369.36/228.14
  6. Step 6: Final answer
    x = 295.30

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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.