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Finding the Fourth Proportional to 363.51, 545.00 and 299.25

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Solution

The fourth proportional to 363.51, 545.00 and 299.25 is: 448.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.51 : 545.00 = 299.25 : x
  2. Step 2: Convert to fraction form
    363.51/545.00 = 299.25/x
  3. Step 3: Cross multiply
    363.51x = 545.00 × 299.25
  4. Step 4: Simplify right side
    363.51x = 163,089.75
  5. Step 5: Solve for x
    x = 163,089.75/363.51
  6. Step 6: Final answer
    x = 448.65

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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.