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Finding the Fourth Proportional to 363.36, 545.40 and 254.10

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Solution

The fourth proportional to 363.36, 545.40 and 254.10 is: 381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.36 : 545.40 = 254.10 : x
  2. Step 2: Convert to fraction form
    363.36/545.40 = 254.10/x
  3. Step 3: Cross multiply
    363.36x = 545.40 × 254.10
  4. Step 4: Simplify right side
    363.36x = 138,586.14
  5. Step 5: Solve for x
    x = 138,586.14/363.36
  6. Step 6: Final answer
    x = 381.40

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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.