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Finding the Fourth Proportional to 412.48, 568.68 and 345.22

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Solution

The fourth proportional to 412.48, 568.68 and 345.22 is: 475.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.48 : 568.68 = 345.22 : x
  2. Step 2: Convert to fraction form
    412.48/568.68 = 345.22/x
  3. Step 3: Cross multiply
    412.48x = 568.68 × 345.22
  4. Step 4: Simplify right side
    412.48x = 196,319.71
  5. Step 5: Solve for x
    x = 196,319.71/412.48
  6. Step 6: Final answer
    x = 475.95

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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.