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Finding the Fourth Proportional to 228.40, 340.35 and 218.27

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Solution

The fourth proportional to 228.40, 340.35 and 218.27 is: 325.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.40 : 340.35 = 218.27 : x
  2. Step 2: Convert to fraction form
    228.40/340.35 = 218.27/x
  3. Step 3: Cross multiply
    228.40x = 340.35 × 218.27
  4. Step 4: Simplify right side
    228.40x = 74,288.19
  5. Step 5: Solve for x
    x = 74,288.19/228.40
  6. Step 6: Final answer
    x = 325.25

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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.