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Finding the Fourth Proportional to 415.07, 573.06 and 257.87

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Solution

The fourth proportional to 415.07, 573.06 and 257.87 is: 356.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.07 : 573.06 = 257.87 : x
  2. Step 2: Convert to fraction form
    415.07/573.06 = 257.87/x
  3. Step 3: Cross multiply
    415.07x = 573.06 × 257.87
  4. Step 4: Simplify right side
    415.07x = 147,772.12
  5. Step 5: Solve for x
    x = 147,772.12/415.07
  6. Step 6: Final answer
    x = 356.02

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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.