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Finding the Fourth Proportional to 366.18, 508.72 and 362.80

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Solution

The fourth proportional to 366.18, 508.72 and 362.80 is: 504.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.18 : 508.72 = 362.80 : x
  2. Step 2: Convert to fraction form
    366.18/508.72 = 362.80/x
  3. Step 3: Cross multiply
    366.18x = 508.72 × 362.80
  4. Step 4: Simplify right side
    366.18x = 184,563.62
  5. Step 5: Solve for x
    x = 184,563.62/366.18
  6. Step 6: Final answer
    x = 504.02

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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.