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Finding the Fourth Proportional to 301.84, 416.55 and 183.79

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Solution

The fourth proportional to 301.84, 416.55 and 183.79 is: 253.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.84 : 416.55 = 183.79 : x
  2. Step 2: Convert to fraction form
    301.84/416.55 = 183.79/x
  3. Step 3: Cross multiply
    301.84x = 416.55 × 183.79
  4. Step 4: Simplify right side
    301.84x = 76,556.68
  5. Step 5: Solve for x
    x = 76,556.68/301.84
  6. Step 6: Final answer
    x = 253.64

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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.