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Finding the Fourth Proportional to 882.21, 1,323.51 and 265.87

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Solution

The fourth proportional to 882.21, 1,323.51 and 265.87 is: 398.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    882.21 : 1,323.51 = 265.87 : x
  2. Step 2: Convert to fraction form
    882.21/1,323.51 = 265.87/x
  3. Step 3: Cross multiply
    882.21x = 1,323.51 × 265.87
  4. Step 4: Simplify right side
    882.21x = 351,878.29
  5. Step 5: Solve for x
    x = 351,878.29/882.21
  6. Step 6: Final answer
    x = 398.86

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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.