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Finding the Fourth Proportional to 319.52, 477.89 and 275.78

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Solution

The fourth proportional to 319.52, 477.89 and 275.78 is: 412.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.52 : 477.89 = 275.78 : x
  2. Step 2: Convert to fraction form
    319.52/477.89 = 275.78/x
  3. Step 3: Cross multiply
    319.52x = 477.89 × 275.78
  4. Step 4: Simplify right side
    319.52x = 131,791.13
  5. Step 5: Solve for x
    x = 131,791.13/319.52
  6. Step 6: Final answer
    x = 412.47

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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.