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Finding the Fourth Proportional to 183.21, 251.60 and 156.98

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Solution

The fourth proportional to 183.21, 251.60 and 156.98 is: 215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.21 : 251.60 = 156.98 : x
  2. Step 2: Convert to fraction form
    183.21/251.60 = 156.98/x
  3. Step 3: Cross multiply
    183.21x = 251.60 × 156.98
  4. Step 4: Simplify right side
    183.21x = 39,494.13
  5. Step 5: Solve for x
    x = 39,494.13/183.21
  6. Step 6: Final answer
    x = 215.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.