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Finding the Fourth Proportional to 319.12, 478.47 and 110.83

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Solution

The fourth proportional to 319.12, 478.47 and 110.83 is: 166.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.12 : 478.47 = 110.83 : x
  2. Step 2: Convert to fraction form
    319.12/478.47 = 110.83/x
  3. Step 3: Cross multiply
    319.12x = 478.47 × 110.83
  4. Step 4: Simplify right side
    319.12x = 53,029.36
  5. Step 5: Solve for x
    x = 53,029.36/319.12
  6. Step 6: Final answer
    x = 166.17

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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.