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Finding the Fourth Proportional to 353.57, 529.74 and 285.12

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Solution

The fourth proportional to 353.57, 529.74 and 285.12 is: 427.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.57 : 529.74 = 285.12 : x
  2. Step 2: Convert to fraction form
    353.57/529.74 = 285.12/x
  3. Step 3: Cross multiply
    353.57x = 529.74 × 285.12
  4. Step 4: Simplify right side
    353.57x = 151,039.47
  5. Step 5: Solve for x
    x = 151,039.47/353.57
  6. Step 6: Final answer
    x = 427.19

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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.