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Finding the Fourth Proportional to 176.02, 263.03 and 131.81

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Solution

The fourth proportional to 176.02, 263.03 and 131.81 is: 196.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.02 : 263.03 = 131.81 : x
  2. Step 2: Convert to fraction form
    176.02/263.03 = 131.81/x
  3. Step 3: Cross multiply
    176.02x = 263.03 × 131.81
  4. Step 4: Simplify right side
    176.02x = 34,669.98
  5. Step 5: Solve for x
    x = 34,669.98/176.02
  6. Step 6: Final answer
    x = 196.97

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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.