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Finding the Fourth Proportional to 883.02, 1,324.30 and 266.56

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Solution

The fourth proportional to 883.02, 1,324.30 and 266.56 is: 399.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.02 : 1,324.30 = 266.56 : x
  2. Step 2: Convert to fraction form
    883.02/1,324.30 = 266.56/x
  3. Step 3: Cross multiply
    883.02x = 1,324.30 × 266.56
  4. Step 4: Simplify right side
    883.02x = 353,005.41
  5. Step 5: Solve for x
    x = 353,005.41/883.02
  6. Step 6: Final answer
    x = 399.77

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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.