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Finding the Fourth Proportional to 355.95, 533.71 and 211.77

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Solution

The fourth proportional to 355.95, 533.71 and 211.77 is: 317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.95 : 533.71 = 211.77 : x
  2. Step 2: Convert to fraction form
    355.95/533.71 = 211.77/x
  3. Step 3: Cross multiply
    355.95x = 533.71 × 211.77
  4. Step 4: Simplify right side
    355.95x = 113,023.77
  5. Step 5: Solve for x
    x = 113,023.77/355.95
  6. Step 6: Final answer
    x = 317.53

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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.