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Finding the Fourth Proportional to 300.56, 448.52 and 257.20

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Solution

The fourth proportional to 300.56, 448.52 and 257.20 is: 383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.56 : 448.52 = 257.20 : x
  2. Step 2: Convert to fraction form
    300.56/448.52 = 257.20/x
  3. Step 3: Cross multiply
    300.56x = 448.52 × 257.20
  4. Step 4: Simplify right side
    300.56x = 115,359.34
  5. Step 5: Solve for x
    x = 115,359.34/300.56
  6. Step 6: Final answer
    x = 383.81

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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.