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Finding the Fourth Proportional to 228.12, 312.94 and 214.14

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Solution

The fourth proportional to 228.12, 312.94 and 214.14 is: 293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.12 : 312.94 = 214.14 : x
  2. Step 2: Convert to fraction form
    228.12/312.94 = 214.14/x
  3. Step 3: Cross multiply
    228.12x = 312.94 × 214.14
  4. Step 4: Simplify right side
    228.12x = 67,013.81
  5. Step 5: Solve for x
    x = 67,013.81/228.12
  6. Step 6: Final answer
    x = 293.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.