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Finding the Fourth Proportional to 260.48, 357.46 and 232.64

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Solution

The fourth proportional to 260.48, 357.46 and 232.64 is: 319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.48 : 357.46 = 232.64 : x
  2. Step 2: Convert to fraction form
    260.48/357.46 = 232.64/x
  3. Step 3: Cross multiply
    260.48x = 357.46 × 232.64
  4. Step 4: Simplify right side
    260.48x = 83,159.49
  5. Step 5: Solve for x
    x = 83,159.49/260.48
  6. Step 6: Final answer
    x = 319.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.