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Finding the Fourth Proportional to 362.75, 541.21 and 345.36

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Solution

The fourth proportional to 362.75, 541.21 and 345.36 is: 515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.75 : 541.21 = 345.36 : x
  2. Step 2: Convert to fraction form
    362.75/541.21 = 345.36/x
  3. Step 3: Cross multiply
    362.75x = 541.21 × 345.36
  4. Step 4: Simplify right side
    362.75x = 186,913.13
  5. Step 5: Solve for x
    x = 186,913.13/362.75
  6. Step 6: Final answer
    x = 515.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.