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Finding the Fourth Proportional to 300.16, 447.60 and 257.04

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Solution

The fourth proportional to 300.16, 447.60 and 257.04 is: 383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.16 : 447.60 = 257.04 : x
  2. Step 2: Convert to fraction form
    300.16/447.60 = 257.04/x
  3. Step 3: Cross multiply
    300.16x = 447.60 × 257.04
  4. Step 4: Simplify right side
    300.16x = 115,051.10
  5. Step 5: Solve for x
    x = 115,051.10/300.16
  6. Step 6: Final answer
    x = 383.30

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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.