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Finding the Fourth Proportional to 300.47, 414.41 and 230.40

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Solution

The fourth proportional to 300.47, 414.41 and 230.40 is: 317.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.47 : 414.41 = 230.40 : x
  2. Step 2: Convert to fraction form
    300.47/414.41 = 230.40/x
  3. Step 3: Cross multiply
    300.47x = 414.41 × 230.40
  4. Step 4: Simplify right side
    300.47x = 95,478.91
  5. Step 5: Solve for x
    x = 95,478.91/300.47
  6. Step 6: Final answer
    x = 317.77

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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.