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Finding the Fourth Proportional to 362.85, 541.79 and 314.25

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Solution

The fourth proportional to 362.85, 541.79 and 314.25 is: 469.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.85 : 541.79 = 314.25 : x
  2. Step 2: Convert to fraction form
    362.85/541.79 = 314.25/x
  3. Step 3: Cross multiply
    362.85x = 541.79 × 314.25
  4. Step 4: Simplify right side
    362.85x = 170,255.94
  5. Step 5: Solve for x
    x = 170,255.94/362.85
  6. Step 6: Final answer
    x = 469.22

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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.