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Finding the Fourth Proportional to 176.88, 242.79 and 169.36

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Solution

The fourth proportional to 176.88, 242.79 and 169.36 is: 232.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.88 : 242.79 = 169.36 : x
  2. Step 2: Convert to fraction form
    176.88/242.79 = 169.36/x
  3. Step 3: Cross multiply
    176.88x = 242.79 × 169.36
  4. Step 4: Simplify right side
    176.88x = 41,118.07
  5. Step 5: Solve for x
    x = 41,118.07/176.88
  6. Step 6: Final answer
    x = 232.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.