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Finding the Fourth Proportional to 366.50, 506.00 and 282.32

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Solution

The fourth proportional to 366.50, 506.00 and 282.32 is: 389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.50 : 506.00 = 282.32 : x
  2. Step 2: Convert to fraction form
    366.50/506.00 = 282.32/x
  3. Step 3: Cross multiply
    366.50x = 506.00 × 282.32
  4. Step 4: Simplify right side
    366.50x = 142,849.98
  5. Step 5: Solve for x
    x = 142,849.98/366.50
  6. Step 6: Final answer
    x = 389.77

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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.