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Finding the Fourth Proportional to 395.10, 545.08 and 297.27

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Solution

The fourth proportional to 395.10, 545.08 and 297.27 is: 410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    395.10 : 545.08 = 297.27 : x
  2. Step 2: Convert to fraction form
    395.10/545.08 = 297.27/x
  3. Step 3: Cross multiply
    395.10x = 545.08 × 297.27
  4. Step 4: Simplify right side
    395.10x = 162,035.93
  5. Step 5: Solve for x
    x = 162,035.93/395.10
  6. Step 6: Final answer
    x = 410.11

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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.