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Finding the Fourth Proportional to 228.15, 342.73 and 212.76

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Solution

The fourth proportional to 228.15, 342.73 and 212.76 is: 319.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.15 : 342.73 = 212.76 : x
  2. Step 2: Convert to fraction form
    228.15/342.73 = 212.76/x
  3. Step 3: Cross multiply
    228.15x = 342.73 × 212.76
  4. Step 4: Simplify right side
    228.15x = 72,919.50
  5. Step 5: Solve for x
    x = 72,919.50/228.15
  6. Step 6: Final answer
    x = 319.61

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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.