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Finding the Fourth Proportional to 319.08, 475.88 and 313.61

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Solution

The fourth proportional to 319.08, 475.88 and 313.61 is: 467.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.08 : 475.88 = 313.61 : x
  2. Step 2: Convert to fraction form
    319.08/475.88 = 313.61/x
  3. Step 3: Cross multiply
    319.08x = 475.88 × 313.61
  4. Step 4: Simplify right side
    319.08x = 149,242.70
  5. Step 5: Solve for x
    x = 149,242.70/319.08
  6. Step 6: Final answer
    x = 467.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.