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Finding the Fourth Proportional to 216.53, 300.06 and 212.42

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Solution

The fourth proportional to 216.53, 300.06 and 212.42 is: 294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.53 : 300.06 = 212.42 : x
  2. Step 2: Convert to fraction form
    216.53/300.06 = 212.42/x
  3. Step 3: Cross multiply
    216.53x = 300.06 × 212.42
  4. Step 4: Simplify right side
    216.53x = 63,737.24
  5. Step 5: Solve for x
    x = 63,737.24/216.53
  6. Step 6: Final answer
    x = 294.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.