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Finding the Fourth Proportional to 367.17, 505.89 and 242.62

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Solution

The fourth proportional to 367.17, 505.89 and 242.62 is: 334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    367.17 : 505.89 = 242.62 : x
  2. Step 2: Convert to fraction form
    367.17/505.89 = 242.62/x
  3. Step 3: Cross multiply
    367.17x = 505.89 × 242.62
  4. Step 4: Simplify right side
    367.17x = 122,739.03
  5. Step 5: Solve for x
    x = 122,739.03/367.17
  6. Step 6: Final answer
    x = 334.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.