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Finding the Fourth Proportional to 365.18, 545.11 and 338.07

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Solution

The fourth proportional to 365.18, 545.11 and 338.07 is: 504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.18 : 545.11 = 338.07 : x
  2. Step 2: Convert to fraction form
    365.18/545.11 = 338.07/x
  3. Step 3: Cross multiply
    365.18x = 545.11 × 338.07
  4. Step 4: Simplify right side
    365.18x = 184,285.34
  5. Step 5: Solve for x
    x = 184,285.34/365.18
  6. Step 6: Final answer
    x = 504.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.