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Finding the Fourth Proportional to 363.48, 548.06 and 358.92

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Solution

The fourth proportional to 363.48, 548.06 and 358.92 is: 541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.48 : 548.06 = 358.92 : x
  2. Step 2: Convert to fraction form
    363.48/548.06 = 358.92/x
  3. Step 3: Cross multiply
    363.48x = 548.06 × 358.92
  4. Step 4: Simplify right side
    363.48x = 196,709.70
  5. Step 5: Solve for x
    x = 196,709.70/363.48
  6. Step 6: Final answer
    x = 541.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.