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Finding the Fourth Proportional to 364.39, 501.69 and 339.55

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Solution

The fourth proportional to 364.39, 501.69 and 339.55 is: 467.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.39 : 501.69 = 339.55 : x
  2. Step 2: Convert to fraction form
    364.39/501.69 = 339.55/x
  3. Step 3: Cross multiply
    364.39x = 501.69 × 339.55
  4. Step 4: Simplify right side
    364.39x = 170,348.86
  5. Step 5: Solve for x
    x = 170,348.86/364.39
  6. Step 6: Final answer
    x = 467.49

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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.