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Finding the Fourth Proportional to 355.20, 532.80 and 211.56

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Solution

The fourth proportional to 355.20, 532.80 and 211.56 is: 317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.20 : 532.80 = 211.56 : x
  2. Step 2: Convert to fraction form
    355.20/532.80 = 211.56/x
  3. Step 3: Cross multiply
    355.20x = 532.80 × 211.56
  4. Step 4: Simplify right side
    355.20x = 112,719.17
  5. Step 5: Solve for x
    x = 112,719.17/355.20
  6. Step 6: Final answer
    x = 317.34

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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.