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Finding the Fourth Proportional to 176.03, 262.79 and 148.68

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Solution

The fourth proportional to 176.03, 262.79 and 148.68 is: 221.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.03 : 262.79 = 148.68 : x
  2. Step 2: Convert to fraction form
    176.03/262.79 = 148.68/x
  3. Step 3: Cross multiply
    176.03x = 262.79 × 148.68
  4. Step 4: Simplify right side
    176.03x = 39,070.87
  5. Step 5: Solve for x
    x = 39,070.87/176.03
  6. Step 6: Final answer
    x = 221.96

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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.