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Finding the Fourth Proportional to 362.29, 499.70 and 257.37

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Solution

The fourth proportional to 362.29, 499.70 and 257.37 is: 354.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.29 : 499.70 = 257.37 : x
  2. Step 2: Convert to fraction form
    362.29/499.70 = 257.37/x
  3. Step 3: Cross multiply
    362.29x = 499.70 × 257.37
  4. Step 4: Simplify right side
    362.29x = 128,608.43
  5. Step 5: Solve for x
    x = 128,608.43/362.29
  6. Step 6: Final answer
    x = 354.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.