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Finding the Fourth Proportional to 301.78, 416.50 and 183.83

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Solution

The fourth proportional to 301.78, 416.50 and 183.83 is: 253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.78 : 416.50 = 183.83 : x
  2. Step 2: Convert to fraction form
    301.78/416.50 = 183.83/x
  3. Step 3: Cross multiply
    301.78x = 416.50 × 183.83
  4. Step 4: Simplify right side
    301.78x = 76,562.70
  5. Step 5: Solve for x
    x = 76,562.70/301.78
  6. Step 6: Final answer
    x = 253.70

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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.