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Finding the Fourth Proportional to 415.14, 569.84 and 378.08

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Solution

The fourth proportional to 415.14, 569.84 and 378.08 is: 518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.14 : 569.84 = 378.08 : x
  2. Step 2: Convert to fraction form
    415.14/569.84 = 378.08/x
  3. Step 3: Cross multiply
    415.14x = 569.84 × 378.08
  4. Step 4: Simplify right side
    415.14x = 215,445.11
  5. Step 5: Solve for x
    x = 215,445.11/415.14
  6. Step 6: Final answer
    x = 518.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.