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Finding the Fourth Proportional to 319.96, 479.25 and 313.72

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Solution

The fourth proportional to 319.96, 479.25 and 313.72 is: 469.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.96 : 479.25 = 313.72 : x
  2. Step 2: Convert to fraction form
    319.96/479.25 = 313.72/x
  3. Step 3: Cross multiply
    319.96x = 479.25 × 313.72
  4. Step 4: Simplify right side
    319.96x = 150,350.31
  5. Step 5: Solve for x
    x = 150,350.31/319.96
  6. Step 6: Final answer
    x = 469.90

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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.