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Finding the Fourth Proportional to 366.56, 509.40 and 361.96

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Solution

The fourth proportional to 366.56, 509.40 and 361.96 is: 503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.56 : 509.40 = 361.96 : x
  2. Step 2: Convert to fraction form
    366.56/509.40 = 361.96/x
  3. Step 3: Cross multiply
    366.56x = 509.40 × 361.96
  4. Step 4: Simplify right side
    366.56x = 184,382.42
  5. Step 5: Solve for x
    x = 184,382.42/366.56
  6. Step 6: Final answer
    x = 503.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.