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Finding the Fourth Proportional to 415.76, 573.60 and 260.48

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Solution

The fourth proportional to 415.76, 573.60 and 260.48 is: 359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.76 : 573.60 = 260.48 : x
  2. Step 2: Convert to fraction form
    415.76/573.60 = 260.48/x
  3. Step 3: Cross multiply
    415.76x = 573.60 × 260.48
  4. Step 4: Simplify right side
    415.76x = 149,411.33
  5. Step 5: Solve for x
    x = 149,411.33/415.76
  6. Step 6: Final answer
    x = 359.37

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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.