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Finding the Fourth Proportional to 228.88, 340.77 and 227.80

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Solution

The fourth proportional to 228.88, 340.77 and 227.80 is: 339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.88 : 340.77 = 227.80 : x
  2. Step 2: Convert to fraction form
    228.88/340.77 = 227.80/x
  3. Step 3: Cross multiply
    228.88x = 340.77 × 227.80
  4. Step 4: Simplify right side
    228.88x = 77,627.41
  5. Step 5: Solve for x
    x = 77,627.41/228.88
  6. Step 6: Final answer
    x = 339.16

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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.