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Finding the Fourth Proportional to 300.59, 448.77 and 257.27

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Solution

The fourth proportional to 300.59, 448.77 and 257.27 is: 384.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.59 : 448.77 = 257.27 : x
  2. Step 2: Convert to fraction form
    300.59/448.77 = 257.27/x
  3. Step 3: Cross multiply
    300.59x = 448.77 × 257.27
  4. Step 4: Simplify right side
    300.59x = 115,455.70
  5. Step 5: Solve for x
    x = 115,455.70/300.59
  6. Step 6: Final answer
    x = 384.10

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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.