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Finding the Fourth Proportional to 207.66, 309.84 and 184.44

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Solution

The fourth proportional to 207.66, 309.84 and 184.44 is: 275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.66 : 309.84 = 184.44 : x
  2. Step 2: Convert to fraction form
    207.66/309.84 = 184.44/x
  3. Step 3: Cross multiply
    207.66x = 309.84 × 184.44
  4. Step 4: Simplify right side
    207.66x = 57,146.89
  5. Step 5: Solve for x
    x = 57,146.89/207.66
  6. Step 6: Final answer
    x = 275.19

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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.