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Finding the Fourth Proportional to 183.40, 253 and 120.47

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Solution

The fourth proportional to 183.40, 253 and 120.47 is: 166.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.40 : 253 = 120.47 : x
  2. Step 2: Convert to fraction form
    183.40/253 = 120.47/x
  3. Step 3: Cross multiply
    183.40x = 253 × 120.47
  4. Step 4: Simplify right side
    183.40x = 30,478.91
  5. Step 5: Solve for x
    x = 30,478.91/183.40
  6. Step 6: Final answer
    x = 166.19

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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.