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Finding the Fourth Proportional to 407.96, 610.38 and 315.96

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Solution

The fourth proportional to 407.96, 610.38 and 315.96 is: 472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.96 : 610.38 = 315.96 : x
  2. Step 2: Convert to fraction form
    407.96/610.38 = 315.96/x
  3. Step 3: Cross multiply
    407.96x = 610.38 × 315.96
  4. Step 4: Simplify right side
    407.96x = 192,855.66
  5. Step 5: Solve for x
    x = 192,855.66/407.96
  6. Step 6: Final answer
    x = 472.73

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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.