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Finding the Fourth Proportional to 253.16, 381.54 and 239.03

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Solution

The fourth proportional to 253.16, 381.54 and 239.03 is: 360.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.16 : 381.54 = 239.03 : x
  2. Step 2: Convert to fraction form
    253.16/381.54 = 239.03/x
  3. Step 3: Cross multiply
    253.16x = 381.54 × 239.03
  4. Step 4: Simplify right side
    253.16x = 91,198.49
  5. Step 5: Solve for x
    x = 91,198.49/253.16
  6. Step 6: Final answer
    x = 360.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.