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Finding the Fourth Proportional to 275.60, 412.78 and 184.04

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Solution

The fourth proportional to 275.60, 412.78 and 184.04 is: 275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.60 : 412.78 = 184.04 : x
  2. Step 2: Convert to fraction form
    275.60/412.78 = 184.04/x
  3. Step 3: Cross multiply
    275.60x = 412.78 × 184.04
  4. Step 4: Simplify right side
    275.60x = 75,968.03
  5. Step 5: Solve for x
    x = 75,968.03/275.60
  6. Step 6: Final answer
    x = 275.65

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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.