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Finding the Fourth Proportional to 303.20, 415.68 and 297.72

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Solution

The fourth proportional to 303.20, 415.68 and 297.72 is: 408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.20 : 415.68 = 297.72 : x
  2. Step 2: Convert to fraction form
    303.20/415.68 = 297.72/x
  3. Step 3: Cross multiply
    303.20x = 415.68 × 297.72
  4. Step 4: Simplify right side
    303.20x = 123,756.25
  5. Step 5: Solve for x
    x = 123,756.25/303.20
  6. Step 6: Final answer
    x = 408.17

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Why These Related Problems?

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