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Finding the Fourth Proportional to 415.76, 573.48 and 260.24

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Solution

The fourth proportional to 415.76, 573.48 and 260.24 is: 358.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.76 : 573.48 = 260.24 : x
  2. Step 2: Convert to fraction form
    415.76/573.48 = 260.24/x
  3. Step 3: Cross multiply
    415.76x = 573.48 × 260.24
  4. Step 4: Simplify right side
    415.76x = 149,242.44
  5. Step 5: Solve for x
    x = 149,242.44/415.76
  6. Step 6: Final answer
    x = 358.96

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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.