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Finding the Fourth Proportional to 620.08, 930.04 and 278

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Solution

The fourth proportional to 620.08, 930.04 and 278 is: 416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.08 : 930.04 = 278 : x
  2. Step 2: Convert to fraction form
    620.08/930.04 = 278/x
  3. Step 3: Cross multiply
    620.08x = 930.04 × 278
  4. Step 4: Simplify right side
    620.08x = 258,551.12
  5. Step 5: Solve for x
    x = 258,551.12/620.08
  6. Step 6: Final answer
    x = 416.96

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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.