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Finding the Fourth Proportional to 216.60, 299.16 and 157.85

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Solution

The fourth proportional to 216.60, 299.16 and 157.85 is: 218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.60 : 299.16 = 157.85 : x
  2. Step 2: Convert to fraction form
    216.60/299.16 = 157.85/x
  3. Step 3: Cross multiply
    216.60x = 299.16 × 157.85
  4. Step 4: Simplify right side
    216.60x = 47,221.44
  5. Step 5: Solve for x
    x = 47,221.44/216.60
  6. Step 6: Final answer
    x = 218.01

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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.