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Finding the Fourth Proportional to 176.90, 265.15 and 108.27

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Solution

The fourth proportional to 176.90, 265.15 and 108.27 is: 162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.90 : 265.15 = 108.27 : x
  2. Step 2: Convert to fraction form
    176.90/265.15 = 108.27/x
  3. Step 3: Cross multiply
    176.90x = 265.15 × 108.27
  4. Step 4: Simplify right side
    176.90x = 28,707.79
  5. Step 5: Solve for x
    x = 28,707.79/176.90
  6. Step 6: Final answer
    x = 162.28

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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.