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Finding the Fourth Proportional to 183.52, 252.64 and 157.20

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Solution

The fourth proportional to 183.52, 252.64 and 157.20 is: 216.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.52 : 252.64 = 157.20 : x
  2. Step 2: Convert to fraction form
    183.52/252.64 = 157.20/x
  3. Step 3: Cross multiply
    183.52x = 252.64 × 157.20
  4. Step 4: Simplify right side
    183.52x = 39,715.01
  5. Step 5: Solve for x
    x = 39,715.01/183.52
  6. Step 6: Final answer
    x = 216.41

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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.