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Finding the Fourth Proportional to 355.48, 535.31 and 310.38

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Solution

The fourth proportional to 355.48, 535.31 and 310.38 is: 467.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.48 : 535.31 = 310.38 : x
  2. Step 2: Convert to fraction form
    355.48/535.31 = 310.38/x
  3. Step 3: Cross multiply
    355.48x = 535.31 × 310.38
  4. Step 4: Simplify right side
    355.48x = 166,149.52
  5. Step 5: Solve for x
    x = 166,149.52/355.48
  6. Step 6: Final answer
    x = 467.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.