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Finding the Fourth Proportional to 216.34, 298 and 183.10

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Solution

The fourth proportional to 216.34, 298 and 183.10 is: 252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.34 : 298 = 183.10 : x
  2. Step 2: Convert to fraction form
    216.34/298 = 183.10/x
  3. Step 3: Cross multiply
    216.34x = 298 × 183.10
  4. Step 4: Simplify right side
    216.34x = 54,563.80
  5. Step 5: Solve for x
    x = 54,563.80/216.34
  6. Step 6: Final answer
    x = 252.21

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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.