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Finding the Fourth Proportional to 362.52, 541.35 and 325.80

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Solution

The fourth proportional to 362.52, 541.35 and 325.80 is: 486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.52 : 541.35 = 325.80 : x
  2. Step 2: Convert to fraction form
    362.52/541.35 = 325.80/x
  3. Step 3: Cross multiply
    362.52x = 541.35 × 325.80
  4. Step 4: Simplify right side
    362.52x = 176,371.83
  5. Step 5: Solve for x
    x = 176,371.83/362.52
  6. Step 6: Final answer
    x = 486.52

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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.