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Finding the Fourth Proportional to 183.69, 253.47 and 134.49

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Solution

The fourth proportional to 183.69, 253.47 and 134.49 is: 185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.69 : 253.47 = 134.49 : x
  2. Step 2: Convert to fraction form
    183.69/253.47 = 134.49/x
  3. Step 3: Cross multiply
    183.69x = 253.47 × 134.49
  4. Step 4: Simplify right side
    183.69x = 34,089.18
  5. Step 5: Solve for x
    x = 34,089.18/183.69
  6. Step 6: Final answer
    x = 185.58

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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.