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Finding the Fourth Proportional to 415.15, 625.20 and 378.24

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Solution

The fourth proportional to 415.15, 625.20 and 378.24 is: 569.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.15 : 625.20 = 378.24 : x
  2. Step 2: Convert to fraction form
    415.15/625.20 = 378.24/x
  3. Step 3: Cross multiply
    415.15x = 625.20 × 378.24
  4. Step 4: Simplify right side
    415.15x = 236,475.65
  5. Step 5: Solve for x
    x = 236,475.65/415.15
  6. Step 6: Final answer
    x = 569.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.