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Finding the Fourth Proportional to 488.51, 674.21 and 275.87

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Solution

The fourth proportional to 488.51, 674.21 and 275.87 is: 380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.51 : 674.21 = 275.87 : x
  2. Step 2: Convert to fraction form
    488.51/674.21 = 275.87/x
  3. Step 3: Cross multiply
    488.51x = 674.21 × 275.87
  4. Step 4: Simplify right side
    488.51x = 185,994.31
  5. Step 5: Solve for x
    x = 185,994.31/488.51
  6. Step 6: Final answer
    x = 380.74

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Why These Related Problems?

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