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Finding the Fourth Proportional to 478.40, 717.90 and 189.84

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Solution

The fourth proportional to 478.40, 717.90 and 189.84 is: 284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.40 : 717.90 = 189.84 : x
  2. Step 2: Convert to fraction form
    478.40/717.90 = 189.84/x
  3. Step 3: Cross multiply
    478.40x = 717.90 × 189.84
  4. Step 4: Simplify right side
    478.40x = 136,286.14
  5. Step 5: Solve for x
    x = 136,286.14/478.40
  6. Step 6: Final answer
    x = 284.88

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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.