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Finding the Fourth Proportional to 440.66, 658.38 and 362.73

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Solution

The fourth proportional to 440.66, 658.38 and 362.73 is: 541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.66 : 658.38 = 362.73 : x
  2. Step 2: Convert to fraction form
    440.66/658.38 = 362.73/x
  3. Step 3: Cross multiply
    440.66x = 658.38 × 362.73
  4. Step 4: Simplify right side
    440.66x = 238,814.18
  5. Step 5: Solve for x
    x = 238,814.18/440.66
  6. Step 6: Final answer
    x = 541.95

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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.