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Finding the Fourth Proportional to 367.16, 548.46 and 330.53

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Solution

The fourth proportional to 367.16, 548.46 and 330.53 is: 493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.16 : 548.46 = 330.53 : x
  2. Step 2: Convert to fraction form
    367.16/548.46 = 330.53/x
  3. Step 3: Cross multiply
    367.16x = 548.46 × 330.53
  4. Step 4: Simplify right side
    367.16x = 181,279.74
  5. Step 5: Solve for x
    x = 181,279.74/367.16
  6. Step 6: Final answer
    x = 493.74

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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.