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Finding the Fourth Proportional to 183.74, 253.46 and 141.70

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Solution

The fourth proportional to 183.74, 253.46 and 141.70 is: 195.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.74 : 253.46 = 141.70 : x
  2. Step 2: Convert to fraction form
    183.74/253.46 = 141.70/x
  3. Step 3: Cross multiply
    183.74x = 253.46 × 141.70
  4. Step 4: Simplify right side
    183.74x = 35,915.28
  5. Step 5: Solve for x
    x = 35,915.28/183.74
  6. Step 6: Final answer
    x = 195.47

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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.