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Finding the Fourth Proportional to 378.82, 568.30 and 147.66

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Solution

The fourth proportional to 378.82, 568.30 and 147.66 is: 221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.82 : 568.30 = 147.66 : x
  2. Step 2: Convert to fraction form
    378.82/568.30 = 147.66/x
  3. Step 3: Cross multiply
    378.82x = 568.30 × 147.66
  4. Step 4: Simplify right side
    378.82x = 83,914.81
  5. Step 5: Solve for x
    x = 83,914.81/378.82
  6. Step 6: Final answer
    x = 221.52

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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.