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Finding the Fourth Proportional to 248.42, 372.78 and 118.40

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Solution

The fourth proportional to 248.42, 372.78 and 118.40 is: 177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    248.42 : 372.78 = 118.40 : x
  2. Step 2: Convert to fraction form
    248.42/372.78 = 118.40/x
  3. Step 3: Cross multiply
    248.42x = 372.78 × 118.40
  4. Step 4: Simplify right side
    248.42x = 44,135.29
  5. Step 5: Solve for x
    x = 44,135.29/248.42
  6. Step 6: Final answer
    x = 177.66

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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.