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Finding the Fourth Proportional to 253.42, 351.33 and 240.24

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Solution

The fourth proportional to 253.42, 351.33 and 240.24 is: 333.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.42 : 351.33 = 240.24 : x
  2. Step 2: Convert to fraction form
    253.42/351.33 = 240.24/x
  3. Step 3: Cross multiply
    253.42x = 351.33 × 240.24
  4. Step 4: Simplify right side
    253.42x = 84,403.94
  5. Step 5: Solve for x
    x = 84,403.94/253.42
  6. Step 6: Final answer
    x = 333.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.