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Finding the Fourth Proportional to 482.25, 723.15 and 276.77

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Solution

The fourth proportional to 482.25, 723.15 and 276.77 is: 415.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.25 : 723.15 = 276.77 : x
  2. Step 2: Convert to fraction form
    482.25/723.15 = 276.77/x
  3. Step 3: Cross multiply
    482.25x = 723.15 × 276.77
  4. Step 4: Simplify right side
    482.25x = 200,146.23
  5. Step 5: Solve for x
    x = 200,146.23/482.25
  6. Step 6: Final answer
    x = 415.03

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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.