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Finding the Fourth Proportional to 470.24, 648.92 and 260.42

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Solution

The fourth proportional to 470.24, 648.92 and 260.42 is: 359.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.24 : 648.92 = 260.42 : x
  2. Step 2: Convert to fraction form
    470.24/648.92 = 260.42/x
  3. Step 3: Cross multiply
    470.24x = 648.92 × 260.42
  4. Step 4: Simplify right side
    470.24x = 168,991.75
  5. Step 5: Solve for x
    x = 168,991.75/470.24
  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.