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Finding the Fourth Proportional to 406, 606.17 and 345.16

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Solution

The fourth proportional to 406, 606.17 and 345.16 is: 515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    406 : 606.17 = 345.16 : x
  2. Step 2: Convert to fraction form
    406/606.17 = 345.16/x
  3. Step 3: Cross multiply
    406x = 606.17 × 345.16
  4. Step 4: Simplify right side
    406x = 209,225.64
  5. Step 5: Solve for x
    x = 209,225.64/406
  6. Step 6: Final answer
    x = 515.33

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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.