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Finding the Fourth Proportional to 177.68, 245.06 and 111.23

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Solution

The fourth proportional to 177.68, 245.06 and 111.23 is: 153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.68 : 245.06 = 111.23 : x
  2. Step 2: Convert to fraction form
    177.68/245.06 = 111.23/x
  3. Step 3: Cross multiply
    177.68x = 245.06 × 111.23
  4. Step 4: Simplify right side
    177.68x = 27,258.91
  5. Step 5: Solve for x
    x = 27,258.91/177.68
  6. Step 6: Final answer
    x = 153.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.