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Finding the Fourth Proportional to 228.50, 315.46 and 154.21

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Solution

The fourth proportional to 228.50, 315.46 and 154.21 is: 212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.50 : 315.46 = 154.21 : x
  2. Step 2: Convert to fraction form
    228.50/315.46 = 154.21/x
  3. Step 3: Cross multiply
    228.50x = 315.46 × 154.21
  4. Step 4: Simplify right side
    228.50x = 48,647.09
  5. Step 5: Solve for x
    x = 48,647.09/228.50
  6. Step 6: Final answer
    x = 212.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.