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Finding the Fourth Proportional to 407.26, 609.49 and 316.37

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Solution

The fourth proportional to 407.26, 609.49 and 316.37 is: 473.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.26 : 609.49 = 316.37 : x
  2. Step 2: Convert to fraction form
    407.26/609.49 = 316.37/x
  3. Step 3: Cross multiply
    407.26x = 609.49 × 316.37
  4. Step 4: Simplify right side
    407.26x = 192,826.27
  5. Step 5: Solve for x
    x = 192,826.27/407.26
  6. Step 6: Final answer
    x = 473.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.