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Finding the Fourth Proportional to 415.43, 573.14 and 257.90

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Solution

The fourth proportional to 415.43, 573.14 and 257.90 is: 355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.43 : 573.14 = 257.90 : x
  2. Step 2: Convert to fraction form
    415.43/573.14 = 257.90/x
  3. Step 3: Cross multiply
    415.43x = 573.14 × 257.90
  4. Step 4: Simplify right side
    415.43x = 147,808.65
  5. Step 5: Solve for x
    x = 147,808.65/415.43
  6. Step 6: Final answer
    x = 355.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.