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Finding the Fourth Proportional to 412.34, 568.68 and 279.26

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Solution

The fourth proportional to 412.34, 568.68 and 279.26 is: 385.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.34 : 568.68 = 279.26 : x
  2. Step 2: Convert to fraction form
    412.34/568.68 = 279.26/x
  3. Step 3: Cross multiply
    412.34x = 568.68 × 279.26
  4. Step 4: Simplify right side
    412.34x = 158,809.58
  5. Step 5: Solve for x
    x = 158,809.58/412.34
  6. Step 6: Final answer
    x = 385.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.