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Finding the Fourth Proportional to 309.72, 427.36 and 176.94

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Solution

The fourth proportional to 309.72, 427.36 and 176.94 is: 244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.72 : 427.36 = 176.94 : x
  2. Step 2: Convert to fraction form
    309.72/427.36 = 176.94/x
  3. Step 3: Cross multiply
    309.72x = 427.36 × 176.94
  4. Step 4: Simplify right side
    309.72x = 75,617.08
  5. Step 5: Solve for x
    x = 75,617.08/309.72
  6. Step 6: Final answer
    x = 244.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.