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Finding the Fourth Proportional to 415.71, 573.79 and 258.25

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Solution

The fourth proportional to 415.71, 573.79 and 258.25 is: 356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.71 : 573.79 = 258.25 : x
  2. Step 2: Convert to fraction form
    415.71/573.79 = 258.25/x
  3. Step 3: Cross multiply
    415.71x = 573.79 × 258.25
  4. Step 4: Simplify right side
    415.71x = 148,179.19
  5. Step 5: Solve for x
    x = 148,179.19/415.71
  6. Step 6: Final answer
    x = 356.45

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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.