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Finding the Fourth Proportional to 366.56, 506.40 and 322.64

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Solution

The fourth proportional to 366.56, 506.40 and 322.64 is: 445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.56 : 506.40 = 322.64 : x
  2. Step 2: Convert to fraction form
    366.56/506.40 = 322.64/x
  3. Step 3: Cross multiply
    366.56x = 506.40 × 322.64
  4. Step 4: Simplify right side
    366.56x = 163,384.90
  5. Step 5: Solve for x
    x = 163,384.90/366.56
  6. Step 6: Final answer
    x = 445.72

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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.