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Finding the Fourth Proportional to 325.14, 485.35 and 279.78

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Solution

The fourth proportional to 325.14, 485.35 and 279.78 is: 417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.14 : 485.35 = 279.78 : x
  2. Step 2: Convert to fraction form
    325.14/485.35 = 279.78/x
  3. Step 3: Cross multiply
    325.14x = 485.35 × 279.78
  4. Step 4: Simplify right side
    325.14x = 135,791.22
  5. Step 5: Solve for x
    x = 135,791.22/325.14
  6. Step 6: Final answer
    x = 417.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.