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Finding the Fourth Proportional to 354.05, 531.35 and 189.71

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Solution

The fourth proportional to 354.05, 531.35 and 189.71 is: 284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    354.05 : 531.35 = 189.71 : x
  2. Step 2: Convert to fraction form
    354.05/531.35 = 189.71/x
  3. Step 3: Cross multiply
    354.05x = 531.35 × 189.71
  4. Step 4: Simplify right side
    354.05x = 100,798.80
  5. Step 5: Solve for x
    x = 100,798.80/354.05
  6. Step 6: Final answer
    x = 284.71

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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.