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Finding the Fourth Proportional to 228.18, 340.37 and 207.43

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Solution

The fourth proportional to 228.18, 340.37 and 207.43 is: 309.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.18 : 340.37 = 207.43 : x
  2. Step 2: Convert to fraction form
    228.18/340.37 = 207.43/x
  3. Step 3: Cross multiply
    228.18x = 340.37 × 207.43
  4. Step 4: Simplify right side
    228.18x = 70,601.84
  5. Step 5: Solve for x
    x = 70,601.84/228.18
  6. Step 6: Final answer
    x = 309.41

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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.