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Finding the Fourth Proportional to 279.78, 419.64 and 183.39

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Solution

The fourth proportional to 279.78, 419.64 and 183.39 is: 275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    279.78 : 419.64 = 183.39 : x
  2. Step 2: Convert to fraction form
    279.78/419.64 = 183.39/x
  3. Step 3: Cross multiply
    279.78x = 419.64 × 183.39
  4. Step 4: Simplify right side
    279.78x = 76,957.78
  5. Step 5: Solve for x
    x = 76,957.78/279.78
  6. Step 6: Final answer
    x = 275.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.