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Finding the Fourth Proportional to 354.35, 531.43 and 189.61

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Solution

The fourth proportional to 354.35, 531.43 and 189.61 is: 284.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.35 : 531.43 = 189.61 : x
  2. Step 2: Convert to fraction form
    354.35/531.43 = 189.61/x
  3. Step 3: Cross multiply
    354.35x = 531.43 × 189.61
  4. Step 4: Simplify right side
    354.35x = 100,762.64
  5. Step 5: Solve for x
    x = 100,762.64/354.35
  6. Step 6: Final answer
    x = 284.36

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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.