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Finding the Fourth Proportional to 216.01, 298.16 and 133.12

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Solution

The fourth proportional to 216.01, 298.16 and 133.12 is: 183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.01 : 298.16 = 133.12 : x
  2. Step 2: Convert to fraction form
    216.01/298.16 = 133.12/x
  3. Step 3: Cross multiply
    216.01x = 298.16 × 133.12
  4. Step 4: Simplify right side
    216.01x = 39,691.06
  5. Step 5: Solve for x
    x = 39,691.06/216.01
  6. Step 6: Final answer
    x = 183.75

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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.