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Finding the Fourth Proportional to 382.04, 569.78 and 345.14

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Solution

The fourth proportional to 382.04, 569.78 and 345.14 is: 514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.04 : 569.78 = 345.14 : x
  2. Step 2: Convert to fraction form
    382.04/569.78 = 345.14/x
  3. Step 3: Cross multiply
    382.04x = 569.78 × 345.14
  4. Step 4: Simplify right side
    382.04x = 196,649.29
  5. Step 5: Solve for x
    x = 196,649.29/382.04
  6. Step 6: Final answer
    x = 514.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.