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Finding the Fourth Proportional to 606.93, 910.17 and 216.84

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Solution

The fourth proportional to 606.93, 910.17 and 216.84 is: 325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.93 : 910.17 = 216.84 : x
  2. Step 2: Convert to fraction form
    606.93/910.17 = 216.84/x
  3. Step 3: Cross multiply
    606.93x = 910.17 × 216.84
  4. Step 4: Simplify right side
    606.93x = 197,364.68
  5. Step 5: Solve for x
    x = 197,364.68/606.93
  6. Step 6: Final answer
    x = 325.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.