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Finding the Fourth Proportional to 183.69, 253.65 and 128.54

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Solution

The fourth proportional to 183.69, 253.65 and 128.54 is: 177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.69 : 253.65 = 128.54 : x
  2. Step 2: Convert to fraction form
    183.69/253.65 = 128.54/x
  3. Step 3: Cross multiply
    183.69x = 253.65 × 128.54
  4. Step 4: Simplify right side
    183.69x = 32,604.17
  5. Step 5: Solve for x
    x = 32,604.17/183.69
  6. Step 6: Final answer
    x = 177.50

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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.