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Finding the Fourth Proportional to 378.57, 567.93 and 147.41

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Solution

The fourth proportional to 378.57, 567.93 and 147.41 is: 221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.57 : 567.93 = 147.41 : x
  2. Step 2: Convert to fraction form
    378.57/567.93 = 147.41/x
  3. Step 3: Cross multiply
    378.57x = 567.93 × 147.41
  4. Step 4: Simplify right side
    378.57x = 83,717.82
  5. Step 5: Solve for x
    x = 83,717.82/378.57
  6. Step 6: Final answer
    x = 221.14

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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.