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Finding the Fourth Proportional to 228.36, 340.35 and 212.79

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Solution

The fourth proportional to 228.36, 340.35 and 212.79 is: 317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.36 : 340.35 = 212.79 : x
  2. Step 2: Convert to fraction form
    228.36/340.35 = 212.79/x
  3. Step 3: Cross multiply
    228.36x = 340.35 × 212.79
  4. Step 4: Simplify right side
    228.36x = 72,423.08
  5. Step 5: Solve for x
    x = 72,423.08/228.36
  6. Step 6: Final answer
    x = 317.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.