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Finding the Fourth Proportional to 177.68, 245.22 and 107.75

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Solution

The fourth proportional to 177.68, 245.22 and 107.75 is: 148.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.68 : 245.22 = 107.75 : x
  2. Step 2: Convert to fraction form
    177.68/245.22 = 107.75/x
  3. Step 3: Cross multiply
    177.68x = 245.22 × 107.75
  4. Step 4: Simplify right side
    177.68x = 26,421.89
  5. Step 5: Solve for x
    x = 26,421.89/177.68
  6. Step 6: Final answer
    x = 148.70

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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.