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Finding the Fourth Proportional to 228.53, 341.90 and 219.53

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Solution

The fourth proportional to 228.53, 341.90 and 219.53 is: 328.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.53 : 341.90 = 219.53 : x
  2. Step 2: Convert to fraction form
    228.53/341.90 = 219.53/x
  3. Step 3: Cross multiply
    228.53x = 341.90 × 219.53
  4. Step 4: Simplify right side
    228.53x = 75,056.21
  5. Step 5: Solve for x
    x = 75,056.21/228.53
  6. Step 6: Final answer
    x = 328.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.