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Finding the Fourth Proportional to 437.65, 656.62 and 177.56

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Solution

The fourth proportional to 437.65, 656.62 and 177.56 is: 266.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.65 : 656.62 = 177.56 : x
  2. Step 2: Convert to fraction form
    437.65/656.62 = 177.56/x
  3. Step 3: Cross multiply
    437.65x = 656.62 × 177.56
  4. Step 4: Simplify right side
    437.65x = 116,589.45
  5. Step 5: Solve for x
    x = 116,589.45/437.65
  6. Step 6: Final answer
    x = 266.40

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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.