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Finding the Fourth Proportional to 301.79, 453.47 and 263.37

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Solution

The fourth proportional to 301.79, 453.47 and 263.37 is: 395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.79 : 453.47 = 263.37 : x
  2. Step 2: Convert to fraction form
    301.79/453.47 = 263.37/x
  3. Step 3: Cross multiply
    301.79x = 453.47 × 263.37
  4. Step 4: Simplify right side
    301.79x = 119,429.08
  5. Step 5: Solve for x
    x = 119,429.08/301.79
  6. Step 6: Final answer
    x = 395.74

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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.