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Finding the Fourth Proportional to 177.29, 244.58 and 107.30

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Solution

The fourth proportional to 177.29, 244.58 and 107.30 is: 148.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.29 : 244.58 = 107.30 : x
  2. Step 2: Convert to fraction form
    177.29/244.58 = 107.30/x
  3. Step 3: Cross multiply
    177.29x = 244.58 × 107.30
  4. Step 4: Simplify right side
    177.29x = 26,243.51
  5. Step 5: Solve for x
    x = 26,243.51/177.29
  6. Step 6: Final answer
    x = 148.03

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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.