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Finding the Fourth Proportional to 216.02, 298.48 and 169.50

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Solution

The fourth proportional to 216.02, 298.48 and 169.50 is: 234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.02 : 298.48 = 169.50 : x
  2. Step 2: Convert to fraction form
    216.02/298.48 = 169.50/x
  3. Step 3: Cross multiply
    216.02x = 298.48 × 169.50
  4. Step 4: Simplify right side
    216.02x = 50,592.36
  5. Step 5: Solve for x
    x = 50,592.36/216.02
  6. Step 6: Final answer
    x = 234.20

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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.