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Finding the Fourth Proportional to 362.18, 541.21 and 245.66

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Solution

The fourth proportional to 362.18, 541.21 and 245.66 is: 367.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362.18 : 541.21 = 245.66 : x
  2. Step 2: Convert to fraction form
    362.18/541.21 = 245.66/x
  3. Step 3: Cross multiply
    362.18x = 541.21 × 245.66
  4. Step 4: Simplify right side
    362.18x = 132,951.62
  5. Step 5: Solve for x
    x = 132,951.62/362.18
  6. Step 6: Final answer
    x = 367.08

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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.