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Finding the Fourth Proportional to 826.02, 1,238.90 and 278.12

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Solution

The fourth proportional to 826.02, 1,238.90 and 278.12 is: 417.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.02 : 1,238.90 = 278.12 : x
  2. Step 2: Convert to fraction form
    826.02/1,238.90 = 278.12/x
  3. Step 3: Cross multiply
    826.02x = 1,238.90 × 278.12
  4. Step 4: Simplify right side
    826.02x = 344,564.57
  5. Step 5: Solve for x
    x = 344,564.57/826.02
  6. Step 6: Final answer
    x = 417.14

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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.