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Finding the Fourth Proportional to 364.05, 545.96 and 144.59

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Solution

The fourth proportional to 364.05, 545.96 and 144.59 is: 216.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.05 : 545.96 = 144.59 : x
  2. Step 2: Convert to fraction form
    364.05/545.96 = 144.59/x
  3. Step 3: Cross multiply
    364.05x = 545.96 × 144.59
  4. Step 4: Simplify right side
    364.05x = 78,938.99
  5. Step 5: Solve for x
    x = 78,938.99/364.05
  6. Step 6: Final answer
    x = 216.84

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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.