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Finding the Fourth Proportional to 319.24, 477.96 and 246.07

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Solution

The fourth proportional to 319.24, 477.96 and 246.07 is: 368.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.24 : 477.96 = 246.07 : x
  2. Step 2: Convert to fraction form
    319.24/477.96 = 246.07/x
  3. Step 3: Cross multiply
    319.24x = 477.96 × 246.07
  4. Step 4: Simplify right side
    319.24x = 117,611.62
  5. Step 5: Solve for x
    x = 117,611.62/319.24
  6. Step 6: Final answer
    x = 368.41

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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.