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Finding the Fourth Proportional to 228.95, 345.14 and 226.90

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Solution

The fourth proportional to 228.95, 345.14 and 226.90 is: 342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.95 : 345.14 = 226.90 : x
  2. Step 2: Convert to fraction form
    228.95/345.14 = 226.90/x
  3. Step 3: Cross multiply
    228.95x = 345.14 × 226.90
  4. Step 4: Simplify right side
    228.95x = 78,311.78
  5. Step 5: Solve for x
    x = 78,311.78/228.95
  6. Step 6: Final answer
    x = 342.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.