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Finding the Fourth Proportional to 301.41, 453.69 and 256.79

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Solution

The fourth proportional to 301.41, 453.69 and 256.79 is: 386.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.41 : 453.69 = 256.79 : x
  2. Step 2: Convert to fraction form
    301.41/453.69 = 256.79/x
  3. Step 3: Cross multiply
    301.41x = 453.69 × 256.79
  4. Step 4: Simplify right side
    301.41x = 116,504.19
  5. Step 5: Solve for x
    x = 116,504.19/301.41
  6. Step 6: Final answer
    x = 386.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.