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Finding the Fourth Proportional to 355.29, 531.06 and 308.65

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Solution

The fourth proportional to 355.29, 531.06 and 308.65 is: 461.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.29 : 531.06 = 308.65 : x
  2. Step 2: Convert to fraction form
    355.29/531.06 = 308.65/x
  3. Step 3: Cross multiply
    355.29x = 531.06 × 308.65
  4. Step 4: Simplify right side
    355.29x = 163,907.47
  5. Step 5: Solve for x
    x = 163,907.47/355.29
  6. Step 6: Final answer
    x = 461.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.