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Finding the Fourth Proportional to 415.40, 570.18 and 378.34

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Solution

The fourth proportional to 415.40, 570.18 and 378.34 is: 519.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.40 : 570.18 = 378.34 : x
  2. Step 2: Convert to fraction form
    415.40/570.18 = 378.34/x
  3. Step 3: Cross multiply
    415.40x = 570.18 × 378.34
  4. Step 4: Simplify right side
    415.40x = 215,721.90
  5. Step 5: Solve for x
    x = 215,721.90/415.40
  6. Step 6: Final answer
    x = 519.31

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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.