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Finding the Fourth Proportional to 248.62, 372.84 and 109.66

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Solution

The fourth proportional to 248.62, 372.84 and 109.66 is: 164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.62 : 372.84 = 109.66 : x
  2. Step 2: Convert to fraction form
    248.62/372.84 = 109.66/x
  3. Step 3: Cross multiply
    248.62x = 372.84 × 109.66
  4. Step 4: Simplify right side
    248.62x = 40,885.63
  5. Step 5: Solve for x
    x = 40,885.63/248.62
  6. Step 6: Final answer
    x = 164.45

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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.