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Finding the Fourth Proportional to 176.68, 263.63 and 157.09

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Solution

The fourth proportional to 176.68, 263.63 and 157.09 is: 234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.68 : 263.63 = 157.09 : x
  2. Step 2: Convert to fraction form
    176.68/263.63 = 157.09/x
  3. Step 3: Cross multiply
    176.68x = 263.63 × 157.09
  4. Step 4: Simplify right side
    176.68x = 41,413.64
  5. Step 5: Solve for x
    x = 41,413.64/176.68
  6. Step 6: Final answer
    x = 234.40

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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.