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Finding the Fourth Proportional to 366.39, 504.83 and 347.15

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Solution

The fourth proportional to 366.39, 504.83 and 347.15 is: 478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.39 : 504.83 = 347.15 : x
  2. Step 2: Convert to fraction form
    366.39/504.83 = 347.15/x
  3. Step 3: Cross multiply
    366.39x = 504.83 × 347.15
  4. Step 4: Simplify right side
    366.39x = 175,253.86
  5. Step 5: Solve for x
    x = 175,253.86/366.39
  6. Step 6: Final answer
    x = 478.33

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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.