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Finding the Fourth Proportional to 396.63, 545.10 and 309.15

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Solution

The fourth proportional to 396.63, 545.10 and 309.15 is: 424.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.63 : 545.10 = 309.15 : x
  2. Step 2: Convert to fraction form
    396.63/545.10 = 309.15/x
  3. Step 3: Cross multiply
    396.63x = 545.10 × 309.15
  4. Step 4: Simplify right side
    396.63x = 168,516.51
  5. Step 5: Solve for x
    x = 168,516.51/396.63
  6. Step 6: Final answer
    x = 424.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.