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Finding the Fourth Proportional to 300.24, 411.63 and 294.76

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Solution

The fourth proportional to 300.24, 411.63 and 294.76 is: 404.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.24 : 411.63 = 294.76 : x
  2. Step 2: Convert to fraction form
    300.24/411.63 = 294.76/x
  3. Step 3: Cross multiply
    300.24x = 411.63 × 294.76
  4. Step 4: Simplify right side
    300.24x = 121,332.06
  5. Step 5: Solve for x
    x = 121,332.06/300.24
  6. Step 6: Final answer
    x = 404.12

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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.