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Finding the Fourth Proportional to 366.50, 505.46 and 242.08

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Solution

The fourth proportional to 366.50, 505.46 and 242.08 is: 333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.50 : 505.46 = 242.08 : x
  2. Step 2: Convert to fraction form
    366.50/505.46 = 242.08/x
  3. Step 3: Cross multiply
    366.50x = 505.46 × 242.08
  4. Step 4: Simplify right side
    366.50x = 122,361.10
  5. Step 5: Solve for x
    x = 122,361.10/366.50
  6. Step 6: Final answer
    x = 333.86

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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.