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Finding the Fourth Proportional to 478.08, 716.71 and 189.72

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Solution

The fourth proportional to 478.08, 716.71 and 189.72 is: 284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.08 : 716.71 = 189.72 : x
  2. Step 2: Convert to fraction form
    478.08/716.71 = 189.72/x
  3. Step 3: Cross multiply
    478.08x = 716.71 × 189.72
  4. Step 4: Simplify right side
    478.08x = 135,974.22
  5. Step 5: Solve for x
    x = 135,974.22/478.08
  6. Step 6: Final answer
    x = 284.42

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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.