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Finding the Fourth Proportional to 206.93, 309.03 and 184.25

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Solution

The fourth proportional to 206.93, 309.03 and 184.25 is: 275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.93 : 309.03 = 184.25 : x
  2. Step 2: Convert to fraction form
    206.93/309.03 = 184.25/x
  3. Step 3: Cross multiply
    206.93x = 309.03 × 184.25
  4. Step 4: Simplify right side
    206.93x = 56,938.78
  5. Step 5: Solve for x
    x = 56,938.78/206.93
  6. Step 6: Final answer
    x = 275.16

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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.