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Finding the Fourth Proportional to 228.50, 340.67 and 214.73

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Solution

The fourth proportional to 228.50, 340.67 and 214.73 is: 320.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.50 : 340.67 = 214.73 : x
  2. Step 2: Convert to fraction form
    228.50/340.67 = 214.73/x
  3. Step 3: Cross multiply
    228.50x = 340.67 × 214.73
  4. Step 4: Simplify right side
    228.50x = 73,152.07
  5. Step 5: Solve for x
    x = 73,152.07/228.50
  6. Step 6: Final answer
    x = 320.14

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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.