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Finding the Fourth Proportional to 176.78, 265.23 and 79.27

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Solution

The fourth proportional to 176.78, 265.23 and 79.27 is: 118.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.78 : 265.23 = 79.27 : x
  2. Step 2: Convert to fraction form
    176.78/265.23 = 79.27/x
  3. Step 3: Cross multiply
    176.78x = 265.23 × 79.27
  4. Step 4: Simplify right side
    176.78x = 21,024.78
  5. Step 5: Solve for x
    x = 21,024.78/176.78
  6. Step 6: Final answer
    x = 118.93

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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.