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Finding the Fourth Proportional to 216.61, 298.89 and 133.70

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Solution

The fourth proportional to 216.61, 298.89 and 133.70 is: 184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.61 : 298.89 = 133.70 : x
  2. Step 2: Convert to fraction form
    216.61/298.89 = 133.70/x
  3. Step 3: Cross multiply
    216.61x = 298.89 × 133.70
  4. Step 4: Simplify right side
    216.61x = 39,960.10
  5. Step 5: Solve for x
    x = 39,960.10/216.61
  6. Step 6: Final answer
    x = 184.48

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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.