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Finding the Fourth Proportional to 406.85, 607.68 and 349.23

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Solution

The fourth proportional to 406.85, 607.68 and 349.23 is: 521.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.85 : 607.68 = 349.23 : x
  2. Step 2: Convert to fraction form
    406.85/607.68 = 349.23/x
  3. Step 3: Cross multiply
    406.85x = 607.68 × 349.23
  4. Step 4: Simplify right side
    406.85x = 212,220.09
  5. Step 5: Solve for x
    x = 212,220.09/406.85
  6. Step 6: Final answer
    x = 521.62

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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.