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Finding the Fourth Proportional to 363.86, 541.87 and 348.06

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Solution

The fourth proportional to 363.86, 541.87 and 348.06 is: 518.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.86 : 541.87 = 348.06 : x
  2. Step 2: Convert to fraction form
    363.86/541.87 = 348.06/x
  3. Step 3: Cross multiply
    363.86x = 541.87 × 348.06
  4. Step 4: Simplify right side
    363.86x = 188,606.39
  5. Step 5: Solve for x
    x = 188,606.39/363.86
  6. Step 6: Final answer
    x = 518.35

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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.