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Finding the Fourth Proportional to 345.66, 515.46 and 322.44

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Solution

The fourth proportional to 345.66, 515.46 and 322.44 is: 480.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.66 : 515.46 = 322.44 : x
  2. Step 2: Convert to fraction form
    345.66/515.46 = 322.44/x
  3. Step 3: Cross multiply
    345.66x = 515.46 × 322.44
  4. Step 4: Simplify right side
    345.66x = 166,204.92
  5. Step 5: Solve for x
    x = 166,204.92/345.66
  6. Step 6: Final answer
    x = 480.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.