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Finding the Fourth Proportional to 395.08, 545.07 and 364.03

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Solution

The fourth proportional to 395.08, 545.07 and 364.03 is: 502.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.08 : 545.07 = 364.03 : x
  2. Step 2: Convert to fraction form
    395.08/545.07 = 364.03/x
  3. Step 3: Cross multiply
    395.08x = 545.07 × 364.03
  4. Step 4: Simplify right side
    395.08x = 198,421.83
  5. Step 5: Solve for x
    x = 198,421.83/395.08
  6. Step 6: Final answer
    x = 502.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.