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Finding the Fourth Proportional to 378.63, 567.96 and 147.57

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Solution

The fourth proportional to 378.63, 567.96 and 147.57 is: 221.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.63 : 567.96 = 147.57 : x
  2. Step 2: Convert to fraction form
    378.63/567.96 = 147.57/x
  3. Step 3: Cross multiply
    378.63x = 567.96 × 147.57
  4. Step 4: Simplify right side
    378.63x = 83,814.37
  5. Step 5: Solve for x
    x = 83,814.37/378.63
  6. Step 6: Final answer
    x = 221.36

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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.