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Finding the Fourth Proportional to 355.22, 531.90 and 285.48

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Solution

The fourth proportional to 355.22, 531.90 and 285.48 is: 427.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.22 : 531.90 = 285.48 : x
  2. Step 2: Convert to fraction form
    355.22/531.90 = 285.48/x
  3. Step 3: Cross multiply
    355.22x = 531.90 × 285.48
  4. Step 4: Simplify right side
    355.22x = 151,846.81
  5. Step 5: Solve for x
    x = 151,846.81/355.22
  6. Step 6: Final answer
    x = 427.48

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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.