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Finding the Fourth Proportional to 357.61, 537.32 and 227.67

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Solution

The fourth proportional to 357.61, 537.32 and 227.67 is: 342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.61 : 537.32 = 227.67 : x
  2. Step 2: Convert to fraction form
    357.61/537.32 = 227.67/x
  3. Step 3: Cross multiply
    357.61x = 537.32 × 227.67
  4. Step 4: Simplify right side
    357.61x = 122,327.82
  5. Step 5: Solve for x
    x = 122,327.82/357.61
  6. Step 6: Final answer
    x = 342.07

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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.