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Finding the Fourth Proportional to 228.50, 342.78 and 120.26

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Solution

The fourth proportional to 228.50, 342.78 and 120.26 is: 180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.50 : 342.78 = 120.26 : x
  2. Step 2: Convert to fraction form
    228.50/342.78 = 120.26/x
  3. Step 3: Cross multiply
    228.50x = 342.78 × 120.26
  4. Step 4: Simplify right side
    228.50x = 41,222.72
  5. Step 5: Solve for x
    x = 41,222.72/228.50
  6. Step 6: Final answer
    x = 180.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.