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Finding the Fourth Proportional to 357.95, 537.03 and 309.56

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Solution

The fourth proportional to 357.95, 537.03 and 309.56 is: 464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.95 : 537.03 = 309.56 : x
  2. Step 2: Convert to fraction form
    357.95/537.03 = 309.56/x
  3. Step 3: Cross multiply
    357.95x = 537.03 × 309.56
  4. Step 4: Simplify right side
    357.95x = 166,243.01
  5. Step 5: Solve for x
    x = 166,243.01/357.95
  6. Step 6: Final answer
    x = 464.43

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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.