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Finding the Fourth Proportional to 319.01, 477.97 and 156.33

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Solution

The fourth proportional to 319.01, 477.97 and 156.33 is: 234.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.01 : 477.97 = 156.33 : x
  2. Step 2: Convert to fraction form
    319.01/477.97 = 156.33/x
  3. Step 3: Cross multiply
    319.01x = 477.97 × 156.33
  4. Step 4: Simplify right side
    319.01x = 74,720.66
  5. Step 5: Solve for x
    x = 74,720.66/319.01
  6. Step 6: Final answer
    x = 234.23

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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.