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Finding the Fourth Proportional to 176.73, 263.79 and 162.30

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Solution

The fourth proportional to 176.73, 263.79 and 162.30 is: 242.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.73 : 263.79 = 162.30 : x
  2. Step 2: Convert to fraction form
    176.73/263.79 = 162.30/x
  3. Step 3: Cross multiply
    176.73x = 263.79 × 162.30
  4. Step 4: Simplify right side
    176.73x = 42,813.12
  5. Step 5: Solve for x
    x = 42,813.12/176.73
  6. Step 6: Final answer
    x = 242.25

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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.