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Finding the Fourth Proportional to 362.40, 499.73 and 257.46

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Solution

The fourth proportional to 362.40, 499.73 and 257.46 is: 355.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.40 : 499.73 = 257.46 : x
  2. Step 2: Convert to fraction form
    362.40/499.73 = 257.46/x
  3. Step 3: Cross multiply
    362.40x = 499.73 × 257.46
  4. Step 4: Simplify right side
    362.40x = 128,659.20
  5. Step 5: Solve for x
    x = 128,659.20/362.40
  6. Step 6: Final answer
    x = 355.02

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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.