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Finding the Fourth Proportional to 301.28, 452.28 and 210.56

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Solution

The fourth proportional to 301.28, 452.28 and 210.56 is: 316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.28 : 452.28 = 210.56 : x
  2. Step 2: Convert to fraction form
    301.28/452.28 = 210.56/x
  3. Step 3: Cross multiply
    301.28x = 452.28 × 210.56
  4. Step 4: Simplify right side
    301.28x = 95,232.08
  5. Step 5: Solve for x
    x = 95,232.08/301.28
  6. Step 6: Final answer
    x = 316.09

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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.