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Finding the Fourth Proportional to 437.87, 657.15 and 264.73

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Solution

The fourth proportional to 437.87, 657.15 and 264.73 is: 397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.87 : 657.15 = 264.73 : x
  2. Step 2: Convert to fraction form
    437.87/657.15 = 264.73/x
  3. Step 3: Cross multiply
    437.87x = 657.15 × 264.73
  4. Step 4: Simplify right side
    437.87x = 173,967.32
  5. Step 5: Solve for x
    x = 173,967.32/437.87
  6. Step 6: Final answer
    x = 397.30

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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.