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Finding the Fourth Proportional to 303.63, 453.26 and 257.46

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Solution

The fourth proportional to 303.63, 453.26 and 257.46 is: 384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.63 : 453.26 = 257.46 : x
  2. Step 2: Convert to fraction form
    303.63/453.26 = 257.46/x
  3. Step 3: Cross multiply
    303.63x = 453.26 × 257.46
  4. Step 4: Simplify right side
    303.63x = 116,695.03
  5. Step 5: Solve for x
    x = 116,695.03/303.63
  6. Step 6: Final answer
    x = 384.33

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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.