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Finding the Fourth Proportional to 300.81, 448.01 and 293.66

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Solution

The fourth proportional to 300.81, 448.01 and 293.66 is: 437.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.81 : 448.01 = 293.66 : x
  2. Step 2: Convert to fraction form
    300.81/448.01 = 293.66/x
  3. Step 3: Cross multiply
    300.81x = 448.01 × 293.66
  4. Step 4: Simplify right side
    300.81x = 131,561.11
  5. Step 5: Solve for x
    x = 131,561.11/300.81
  6. Step 6: Final answer
    x = 437.36

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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.