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Finding the Fourth Proportional to 300.58, 450.10 and 257.53

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Solution

The fourth proportional to 300.58, 450.10 and 257.53 is: 385.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.58 : 450.10 = 257.53 : x
  2. Step 2: Convert to fraction form
    300.58/450.10 = 257.53/x
  3. Step 3: Cross multiply
    300.58x = 450.10 × 257.53
  4. Step 4: Simplify right side
    300.58x = 115,910.71
  5. Step 5: Solve for x
    x = 115,910.71/300.58
  6. Step 6: Final answer
    x = 385.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.