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Finding the Fourth Proportional to 437.29, 655.94 and 177.21

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Solution

The fourth proportional to 437.29, 655.94 and 177.21 is: 265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.29 : 655.94 = 177.21 : x
  2. Step 2: Convert to fraction form
    437.29/655.94 = 177.21/x
  3. Step 3: Cross multiply
    437.29x = 655.94 × 177.21
  4. Step 4: Simplify right side
    437.29x = 116,239.57
  5. Step 5: Solve for x
    x = 116,239.57/437.29
  6. Step 6: Final answer
    x = 265.82

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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.