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Finding the Fourth Proportional to 880.86, 1,321.31 and 264.50

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Solution

The fourth proportional to 880.86, 1,321.31 and 264.50 is: 396.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.86 : 1,321.31 = 264.50 : x
  2. Step 2: Convert to fraction form
    880.86/1,321.31 = 264.50/x
  3. Step 3: Cross multiply
    880.86x = 1,321.31 × 264.50
  4. Step 4: Simplify right side
    880.86x = 349,485.50
  5. Step 5: Solve for x
    x = 349,485.50/880.86
  6. Step 6: Final answer
    x = 396.76

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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.