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Finding the Fourth Proportional to 366.25, 505.63 and 242.27

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Solution

The fourth proportional to 366.25, 505.63 and 242.27 is: 334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.25 : 505.63 = 242.27 : x
  2. Step 2: Convert to fraction form
    366.25/505.63 = 242.27/x
  3. Step 3: Cross multiply
    366.25x = 505.63 × 242.27
  4. Step 4: Simplify right side
    366.25x = 122,496.45
  5. Step 5: Solve for x
    x = 122,496.45/366.25
  6. Step 6: Final answer
    x = 334.47

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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.