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Finding the Fourth Proportional to 177.26, 264.86 and 144.35

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Solution

The fourth proportional to 177.26, 264.86 and 144.35 is: 215.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.26 : 264.86 = 144.35 : x
  2. Step 2: Convert to fraction form
    177.26/264.86 = 144.35/x
  3. Step 3: Cross multiply
    177.26x = 264.86 × 144.35
  4. Step 4: Simplify right side
    177.26x = 38,230.49
  5. Step 5: Solve for x
    x = 38,230.49/177.26
  6. Step 6: Final answer
    x = 215.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.