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Finding the Fourth Proportional to 301.65, 453.41 and 261.56

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Solution

The fourth proportional to 301.65, 453.41 and 261.56 is: 393.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.65 : 453.41 = 261.56 : x
  2. Step 2: Convert to fraction form
    301.65/453.41 = 261.56/x
  3. Step 3: Cross multiply
    301.65x = 453.41 × 261.56
  4. Step 4: Simplify right side
    301.65x = 118,591.48
  5. Step 5: Solve for x
    x = 118,591.48/301.65
  6. Step 6: Final answer
    x = 393.14

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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.