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Finding the Fourth Proportional to 216.84, 299.12 and 167.60

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Solution

The fourth proportional to 216.84, 299.12 and 167.60 is: 231.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.84 : 299.12 = 167.60 : x
  2. Step 2: Convert to fraction form
    216.84/299.12 = 167.60/x
  3. Step 3: Cross multiply
    216.84x = 299.12 × 167.60
  4. Step 4: Simplify right side
    216.84x = 50,132.51
  5. Step 5: Solve for x
    x = 50,132.51/216.84
  6. Step 6: Final answer
    x = 231.20

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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.