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Finding the Fourth Proportional to 379.04, 567.66 and 257.42

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Solution

The fourth proportional to 379.04, 567.66 and 257.42 is: 385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.04 : 567.66 = 257.42 : x
  2. Step 2: Convert to fraction form
    379.04/567.66 = 257.42/x
  3. Step 3: Cross multiply
    379.04x = 567.66 × 257.42
  4. Step 4: Simplify right side
    379.04x = 146,127.04
  5. Step 5: Solve for x
    x = 146,127.04/379.04
  6. Step 6: Final answer
    x = 385.52

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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.