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Finding the Fourth Proportional to 260.22, 357.01 and 253.38

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Solution

The fourth proportional to 260.22, 357.01 and 253.38 is: 347.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.22 : 357.01 = 253.38 : x
  2. Step 2: Convert to fraction form
    260.22/357.01 = 253.38/x
  3. Step 3: Cross multiply
    260.22x = 357.01 × 253.38
  4. Step 4: Simplify right side
    260.22x = 90,459.19
  5. Step 5: Solve for x
    x = 90,459.19/260.22
  6. Step 6: Final answer
    x = 347.63

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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.