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Finding the Fourth Proportional to 364.57, 543.86 and 338.38

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Solution

The fourth proportional to 364.57, 543.86 and 338.38 is: 504.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.57 : 543.86 = 338.38 : x
  2. Step 2: Convert to fraction form
    364.57/543.86 = 338.38/x
  3. Step 3: Cross multiply
    364.57x = 543.86 × 338.38
  4. Step 4: Simplify right side
    364.57x = 184,031.35
  5. Step 5: Solve for x
    x = 184,031.35/364.57
  6. Step 6: Final answer
    x = 504.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.