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Finding the Fourth Proportional to 363.94, 545.42 and 171.16

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Solution

The fourth proportional to 363.94, 545.42 and 171.16 is: 256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.94 : 545.42 = 171.16 : x
  2. Step 2: Convert to fraction form
    363.94/545.42 = 171.16/x
  3. Step 3: Cross multiply
    363.94x = 545.42 × 171.16
  4. Step 4: Simplify right side
    363.94x = 93,351.36
  5. Step 5: Solve for x
    x = 93,351.36/363.94
  6. Step 6: Final answer
    x = 256.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.