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Finding the Fourth Proportional to 260.68, 359.56 and 162.40

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Solution

The fourth proportional to 260.68, 359.56 and 162.40 is: 224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.68 : 359.56 = 162.40 : x
  2. Step 2: Convert to fraction form
    260.68/359.56 = 162.40/x
  3. Step 3: Cross multiply
    260.68x = 359.56 × 162.40
  4. Step 4: Simplify right side
    260.68x = 58,392.54
  5. Step 5: Solve for x
    x = 58,392.54/260.68
  6. Step 6: Final answer
    x = 224.00

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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.