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Finding the Fourth Proportional to 378.87, 567.78 and 172.94

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Solution

The fourth proportional to 378.87, 567.78 and 172.94 is: 259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.87 : 567.78 = 172.94 : x
  2. Step 2: Convert to fraction form
    378.87/567.78 = 172.94/x
  3. Step 3: Cross multiply
    378.87x = 567.78 × 172.94
  4. Step 4: Simplify right side
    378.87x = 98,189.03
  5. Step 5: Solve for x
    x = 98,189.03/378.87
  6. Step 6: Final answer
    x = 259.16

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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.