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Finding the Fourth Proportional to 248.42, 372.64 and 75.09

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Solution

The fourth proportional to 248.42, 372.64 and 75.09 is: 112.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.42 : 372.64 = 75.09 : x
  2. Step 2: Convert to fraction form
    248.42/372.64 = 75.09/x
  3. Step 3: Cross multiply
    248.42x = 372.64 × 75.09
  4. Step 4: Simplify right side
    248.42x = 27,981.54
  5. Step 5: Solve for x
    x = 27,981.54/248.42
  6. Step 6: Final answer
    x = 112.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.