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Finding the Fourth Proportional to 319.25, 478.91 and 293.90

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Solution

The fourth proportional to 319.25, 478.91 and 293.90 is: 440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.25 : 478.91 = 293.90 : x
  2. Step 2: Convert to fraction form
    319.25/478.91 = 293.90/x
  3. Step 3: Cross multiply
    319.25x = 478.91 × 293.90
  4. Step 4: Simplify right side
    319.25x = 140,749.99
  5. Step 5: Solve for x
    x = 140,749.99/319.25
  6. Step 6: Final answer
    x = 440.87

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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.