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Finding the Fourth Proportional to 415.67, 573.55 and 258.26

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Solution

The fourth proportional to 415.67, 573.55 and 258.26 is: 356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.67 : 573.55 = 258.26 : x
  2. Step 2: Convert to fraction form
    415.67/573.55 = 258.26/x
  3. Step 3: Cross multiply
    415.67x = 573.55 × 258.26
  4. Step 4: Simplify right side
    415.67x = 148,121.51
  5. Step 5: Solve for x
    x = 148,121.51/415.67
  6. Step 6: Final answer
    x = 356.35

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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.