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Finding the Fourth Proportional to 319.88, 478.46 and 232.23

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Solution

The fourth proportional to 319.88, 478.46 and 232.23 is: 347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.88 : 478.46 = 232.23 : x
  2. Step 2: Convert to fraction form
    319.88/478.46 = 232.23/x
  3. Step 3: Cross multiply
    319.88x = 478.46 × 232.23
  4. Step 4: Simplify right side
    319.88x = 111,111.60
  5. Step 5: Solve for x
    x = 111,111.60/319.88
  6. Step 6: Final answer
    x = 347.36

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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.