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Finding the Fourth Proportional to 362.49, 500.31 and 257.46

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Solution

The fourth proportional to 362.49, 500.31 and 257.46 is: 355.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.49 : 500.31 = 257.46 : x
  2. Step 2: Convert to fraction form
    362.49/500.31 = 257.46/x
  3. Step 3: Cross multiply
    362.49x = 500.31 × 257.46
  4. Step 4: Simplify right side
    362.49x = 128,809.81
  5. Step 5: Solve for x
    x = 128,809.81/362.49
  6. Step 6: Final answer
    x = 355.35

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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.