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Finding the Fourth Proportional to 216.67, 299.01 and 128.15

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Solution

The fourth proportional to 216.67, 299.01 and 128.15 is: 176.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.67 : 299.01 = 128.15 : x
  2. Step 2: Convert to fraction form
    216.67/299.01 = 128.15/x
  3. Step 3: Cross multiply
    216.67x = 299.01 × 128.15
  4. Step 4: Simplify right side
    216.67x = 38,316.00
  5. Step 5: Solve for x
    x = 38,316.00/216.67
  6. Step 6: Final answer
    x = 176.84

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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.