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Finding the Fourth Proportional to 303.24, 415.76 and 297.76

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Solution

The fourth proportional to 303.24, 415.76 and 297.76 is: 408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.24 : 415.76 = 297.76 : x
  2. Step 2: Convert to fraction form
    303.24/415.76 = 297.76/x
  3. Step 3: Cross multiply
    303.24x = 415.76 × 297.76
  4. Step 4: Simplify right side
    303.24x = 123,796.70
  5. Step 5: Solve for x
    x = 123,796.70/303.24
  6. Step 6: Final answer
    x = 408.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.