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Finding the Fourth Proportional to 319.23, 478.41 and 145.86

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Solution

The fourth proportional to 319.23, 478.41 and 145.86 is: 218.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.23 : 478.41 = 145.86 : x
  2. Step 2: Convert to fraction form
    319.23/478.41 = 145.86/x
  3. Step 3: Cross multiply
    319.23x = 478.41 × 145.86
  4. Step 4: Simplify right side
    319.23x = 69,780.88
  5. Step 5: Solve for x
    x = 69,780.88/319.23
  6. Step 6: Final answer
    x = 218.59

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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.