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Finding the Fourth Proportional to 378.05, 567.14 and 118.08

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Solution

The fourth proportional to 378.05, 567.14 and 118.08 is: 177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.05 : 567.14 = 118.08 : x
  2. Step 2: Convert to fraction form
    378.05/567.14 = 118.08/x
  3. Step 3: Cross multiply
    378.05x = 567.14 × 118.08
  4. Step 4: Simplify right side
    378.05x = 66,967.30
  5. Step 5: Solve for x
    x = 66,967.30/378.05
  6. Step 6: Final answer
    x = 177.14

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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.