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Finding the Fourth Proportional to 880.09, 1,320.30 and 263.79

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Solution

The fourth proportional to 880.09, 1,320.30 and 263.79 is: 395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.09 : 1,320.30 = 263.79 : x
  2. Step 2: Convert to fraction form
    880.09/1,320.30 = 263.79/x
  3. Step 3: Cross multiply
    880.09x = 1,320.30 × 263.79
  4. Step 4: Simplify right side
    880.09x = 348,281.94
  5. Step 5: Solve for x
    x = 348,281.94/880.09
  6. Step 6: Final answer
    x = 395.74

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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.