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Finding the Fourth Proportional to 668.34, 1,002.12 and 278.22

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Solution

The fourth proportional to 668.34, 1,002.12 and 278.22 is: 417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.34 : 1,002.12 = 278.22 : x
  2. Step 2: Convert to fraction form
    668.34/1,002.12 = 278.22/x
  3. Step 3: Cross multiply
    668.34x = 1,002.12 × 278.22
  4. Step 4: Simplify right side
    668.34x = 278,809.83
  5. Step 5: Solve for x
    x = 278,809.83/668.34
  6. Step 6: Final answer
    x = 417.17

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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.