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Finding the Fourth Proportional to 364.08, 545.72 and 147.42

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Solution

The fourth proportional to 364.08, 545.72 and 147.42 is: 220.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.08 : 545.72 = 147.42 : x
  2. Step 2: Convert to fraction form
    364.08/545.72 = 147.42/x
  3. Step 3: Cross multiply
    364.08x = 545.72 × 147.42
  4. Step 4: Simplify right side
    364.08x = 80,450.04
  5. Step 5: Solve for x
    x = 80,450.04/364.08
  6. Step 6: Final answer
    x = 220.97

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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.