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Finding the Fourth Proportional to 228.06, 339.99 and 210.78

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Solution

The fourth proportional to 228.06, 339.99 and 210.78 is: 314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.06 : 339.99 = 210.78 : x
  2. Step 2: Convert to fraction form
    228.06/339.99 = 210.78/x
  3. Step 3: Cross multiply
    228.06x = 339.99 × 210.78
  4. Step 4: Simplify right side
    228.06x = 71,663.09
  5. Step 5: Solve for x
    x = 71,663.09/228.06
  6. Step 6: Final answer
    x = 314.23

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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.