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Finding the Fourth Proportional to 366.32, 505.74 and 242.09

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Solution

The fourth proportional to 366.32, 505.74 and 242.09 is: 334.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.32 : 505.74 = 242.09 : x
  2. Step 2: Convert to fraction form
    366.32/505.74 = 242.09/x
  3. Step 3: Cross multiply
    366.32x = 505.74 × 242.09
  4. Step 4: Simplify right side
    366.32x = 122,434.87
  5. Step 5: Solve for x
    x = 122,434.87/366.32
  6. Step 6: Final answer
    x = 334.23

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