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Finding the Fourth Proportional to 300.41, 448.09 and 291.30

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Solution

The fourth proportional to 300.41, 448.09 and 291.30 is: 434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.41 : 448.09 = 291.30 : x
  2. Step 2: Convert to fraction form
    300.41/448.09 = 291.30/x
  3. Step 3: Cross multiply
    300.41x = 448.09 × 291.30
  4. Step 4: Simplify right side
    300.41x = 130,527.16
  5. Step 5: Solve for x
    x = 130,527.16/300.41
  6. Step 6: Final answer
    x = 434.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.