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Finding the Fourth Proportional to 176.93, 264.78 and 149.39

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Solution

The fourth proportional to 176.93, 264.78 and 149.39 is: 223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.93 : 264.78 = 149.39 : x
  2. Step 2: Convert to fraction form
    176.93/264.78 = 149.39/x
  3. Step 3: Cross multiply
    176.93x = 264.78 × 149.39
  4. Step 4: Simplify right side
    176.93x = 39,554.16
  5. Step 5: Solve for x
    x = 39,554.16/176.93
  6. Step 6: Final answer
    x = 223.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.