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Finding the Fourth Proportional to 378.09, 567.14 and 118.09

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Solution

The fourth proportional to 378.09, 567.14 and 118.09 is: 177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.09 : 567.14 = 118.09 : x
  2. Step 2: Convert to fraction form
    378.09/567.14 = 118.09/x
  3. Step 3: Cross multiply
    378.09x = 567.14 × 118.09
  4. Step 4: Simplify right side
    378.09x = 66,970.14
  5. Step 5: Solve for x
    x = 66,970.14/378.09
  6. Step 6: Final answer
    x = 177.13

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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.