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Finding the Fourth Proportional to 355.96, 534.75 and 287.92

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Solution

The fourth proportional to 355.96, 534.75 and 287.92 is: 432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.96 : 534.75 = 287.92 : x
  2. Step 2: Convert to fraction form
    355.96/534.75 = 287.92/x
  3. Step 3: Cross multiply
    355.96x = 534.75 × 287.92
  4. Step 4: Simplify right side
    355.96x = 153,965.22
  5. Step 5: Solve for x
    x = 153,965.22/355.96
  6. Step 6: Final answer
    x = 432.54

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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.