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Finding the Fourth Proportional to 378.47, 567.49 and 118.39

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Solution

The fourth proportional to 378.47, 567.49 and 118.39 is: 177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.47 : 567.49 = 118.39 : x
  2. Step 2: Convert to fraction form
    378.47/567.49 = 118.39/x
  3. Step 3: Cross multiply
    378.47x = 567.49 × 118.39
  4. Step 4: Simplify right side
    378.47x = 67,185.14
  5. Step 5: Solve for x
    x = 67,185.14/378.47
  6. Step 6: Final answer
    x = 177.52

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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.