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Finding the Fourth Proportional to 228.42, 340.65 and 216.27

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Solution

The fourth proportional to 228.42, 340.65 and 216.27 is: 322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.42 : 340.65 = 216.27 : x
  2. Step 2: Convert to fraction form
    228.42/340.65 = 216.27/x
  3. Step 3: Cross multiply
    228.42x = 340.65 × 216.27
  4. Step 4: Simplify right side
    228.42x = 73,672.38
  5. Step 5: Solve for x
    x = 73,672.38/228.42
  6. Step 6: Final answer
    x = 322.53

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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.