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Finding the Fourth Proportional to 378.82, 568.26 and 186.46

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Solution

The fourth proportional to 378.82, 568.26 and 186.46 is: 279.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.82 : 568.26 = 186.46 : x
  2. Step 2: Convert to fraction form
    378.82/568.26 = 186.46/x
  3. Step 3: Cross multiply
    378.82x = 568.26 × 186.46
  4. Step 4: Simplify right side
    378.82x = 105,957.76
  5. Step 5: Solve for x
    x = 105,957.76/378.82
  6. Step 6: Final answer
    x = 279.70

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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.