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Finding the Fourth Proportional to 437.71, 656.59 and 177.70

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Solution

The fourth proportional to 437.71, 656.59 and 177.70 is: 266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.71 : 656.59 = 177.70 : x
  2. Step 2: Convert to fraction form
    437.71/656.59 = 177.70/x
  3. Step 3: Cross multiply
    437.71x = 656.59 × 177.70
  4. Step 4: Simplify right side
    437.71x = 116,676.04
  5. Step 5: Solve for x
    x = 116,676.04/437.71
  6. Step 6: Final answer
    x = 266.56

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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.