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Finding the Fourth Proportional to 228.51, 340.83 and 215.64

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Solution

The fourth proportional to 228.51, 340.83 and 215.64 is: 321.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.51 : 340.83 = 215.64 : x
  2. Step 2: Convert to fraction form
    228.51/340.83 = 215.64/x
  3. Step 3: Cross multiply
    228.51x = 340.83 × 215.64
  4. Step 4: Simplify right side
    228.51x = 73,496.58
  5. Step 5: Solve for x
    x = 73,496.58/228.51
  6. Step 6: Final answer
    x = 321.63

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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.