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Finding the Fourth Proportional to 365.27, 545.10 and 326.35

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Solution

The fourth proportional to 365.27, 545.10 and 326.35 is: 487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.27 : 545.10 = 326.35 : x
  2. Step 2: Convert to fraction form
    365.27/545.10 = 326.35/x
  3. Step 3: Cross multiply
    365.27x = 545.10 × 326.35
  4. Step 4: Simplify right side
    365.27x = 177,892.02
  5. Step 5: Solve for x
    x = 177,892.02/365.27
  6. Step 6: Final answer
    x = 487.01

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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.