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Finding the Fourth Proportional to 488.25, 673.70 and 275.55

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Solution

The fourth proportional to 488.25, 673.70 and 275.55 is: 380.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.25 : 673.70 = 275.55 : x
  2. Step 2: Convert to fraction form
    488.25/673.70 = 275.55/x
  3. Step 3: Cross multiply
    488.25x = 673.70 × 275.55
  4. Step 4: Simplify right side
    488.25x = 185,638.04
  5. Step 5: Solve for x
    x = 185,638.04/488.25
  6. Step 6: Final answer
    x = 380.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.