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Finding the Fourth Proportional to 880.19, 1,320.27 and 263.90

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Solution

The fourth proportional to 880.19, 1,320.27 and 263.90 is: 395.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.19 : 1,320.27 = 263.90 : x
  2. Step 2: Convert to fraction form
    880.19/1,320.27 = 263.90/x
  3. Step 3: Cross multiply
    880.19x = 1,320.27 × 263.90
  4. Step 4: Simplify right side
    880.19x = 348,419.25
  5. Step 5: Solve for x
    x = 348,419.25/880.19
  6. Step 6: Final answer
    x = 395.85

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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.