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Finding the Fourth Proportional to 437.99, 656.47 and 264.56

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Solution

The fourth proportional to 437.99, 656.47 and 264.56 is: 396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.99 : 656.47 = 264.56 : x
  2. Step 2: Convert to fraction form
    437.99/656.47 = 264.56/x
  3. Step 3: Cross multiply
    437.99x = 656.47 × 264.56
  4. Step 4: Simplify right side
    437.99x = 173,675.70
  5. Step 5: Solve for x
    x = 173,675.70/437.99
  6. Step 6: Final answer
    x = 396.53

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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.