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Finding the Fourth Proportional to 216.54, 298.86 and 154.50

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Solution

The fourth proportional to 216.54, 298.86 and 154.50 is: 213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.54 : 298.86 = 154.50 : x
  2. Step 2: Convert to fraction form
    216.54/298.86 = 154.50/x
  3. Step 3: Cross multiply
    216.54x = 298.86 × 154.50
  4. Step 4: Simplify right side
    216.54x = 46,173.87
  5. Step 5: Solve for x
    x = 46,173.87/216.54
  6. Step 6: Final answer
    x = 213.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.